International Journal Of Nonlinear Analysis And Applications
Volume:14 Issue: 9, Sep 2023

In this paper, we introduce a new iterative method for a system of split mixed equilibrium problems and an infinite family of demimetric mappings in a real Hilbert space. Then, we establish that the sequence generated by our proposed algorithm converges strongly to a common element in the solutions set of a system of split mixed equilibrium problems and the common fixed points set of an infinite family of demimetric mappings. Our results improve and generalize some well-known recent results in the literature.

We study the existence, uniqueness, continuous dependence, and asymptotic expansion of solutions of the Dirichlet problem for a nonlinear Kirchhoff wave equation. At first, we state and prove a theorem involving the local existence and uniqueness of a weak solution. Next, we establish a sufficient condition to get an estimate of the continuous dependence of the solution with respect to the nonlinear terms. Finally, an asymptotic expansion of high order in a small parameter of a weak solution is also discussed.

In the present paper, we give the modifications of $\alpha-$Bernstein-Paltanea operators with better approximation properties. We present three modifications of these operators having linear, quadratic and cubic order of approximation whereas the classical operators are of linear order. By increasing the order of approximation of these operators, the speed of the convergence will be increased. We establish some approximation results concerning the rate of convergence, error estimation and Voronovskaja type formulas for the new modifications. Also, we verify our analytical results with the help of MAPLE algorithms.

Since the attention and interest in the theory of wisdom is growing in various disciplines, but the integration of wisdom in professional methods such as auditing, especially their decision-making and professional opinions about financial statements, is still in an aura of ambiguity. Due to the lack of an understanding Empirical and explicit about the relationship between auditors' wisdom and decision-making, this gap doubles. Therefore, based on this argument, the current research aims to design a model of the wise decision-making process in auditing with a fuzzy Delphi approach. The methodology of this research is a combination (qualitative and quantitative) based on the participation of two expert communities as panel members in the qualitative section and 30 independent auditors as sociostatistical members in the quantitative section. In the qualitative part, the meta-analysis method was used to identify the factors related to wise decision-making, and then, through Delphi analysis, the basic factors were determined, based on the two criteria of the agreement coefficient and the average during the steps carried out back and forth to reach theoretical saturation. It investigated the results of this section and showed that 3 main components and 12 sub-components were approved. Based on the results, the professional thinking factor was chosen as the most influential factor and the social thinking factor as the second most influential factor on the auditors' wise decision-making.

The purpose of this paper is to provide a generalized formulation for Hat basis functions and to present the operational matrices for finding the approximate solution for time-invariant delay systems‎. ‎From this prospect‎, ‎the hat basic functions of integration‎, ‎delay‎, ‎product‎, ‎and dual are derived‎, ‎which are utilized to practically reduce the time-varying delay systems solution to the simplest system of algebraic equations‎. ‎The numerical results compared and tabled with previous works showcase the method's simplicity‎, ‎clarity‎, ‎and effectiveness through the three examples.

Many developing and newly industrialized countries lack the technical and management capabilities to carry out large and/or complex infrastructure projects. Therefore, a series of initiatives related to international technology transfer (technology transfer) has been started in the construction industry and others as well, in an effort to speed up countries' infrastructural development, economy and living standards. However, these initiatives have not been transferred to increase immediate capabilities and competitiveness in companies of hosting companies, and this has led them to be dependent stably on foreign companies. The demand for high-quality and affordable buildings has increased along with the evolution of society. Construction companies have proved that an Industrial House-Building platform (IHB) strategy is an effective way to meet customers’ requirements. We decided to apply a managerial perspective and consider the IHB platform as a technical solution when considering technology transfer in a construction context. The IHB platform strategy can help companies overcome the uncertainties associated with the technology transfer process. In addition, the platform strategy help through the transferability of IHB to different markets, which in turn provides unique opportunities for companies from other fields to enter the construction market.

In this paper, the robust controller is designed based on different types of sliding mode techniques for the nonlinear model of Bergman insulin-glucose regulation of type 1 diabetes. It is assumed that the nonlinear model includes unknown uncertainties. The convergence of patient person states to the healthy guy ones is the main purpose of the presented designing procedures. The stability of the closed-loop system, the robustness of suggested schemes, and the convergence of tracking error to zero in finite time are the main advantages of the suggested method. The reduction of chattering phenomena is guaranteed in this approach. The proposed methods depict the promising performance of the derived controllers in the injected rate of insulin in diabetes diseases. The simulation results illustrate the promising performance of the planned policy. Also, the sliding mode techniques are compared with the others to show the best-proposed design.

A highly significant financial risk is liquidity risk. Liquidity risk management is a substantial part of Basel Recommendation no. three; with regard to the importance of this risk, this recommendation directs banks to develop and implement appropriate information systems for measuring, predicting, and controlling liquidity risks. Based on its structure, size, and features, each bank manages liquidity risk using different tools and methods. This study investigated the effectiveness of artificial neural networks in predicting liquidity risk in private Iranian banks. Relying on past studies and employing accounting information, this research developed a specific structure and architecture for a multilayer perceptron neural network; then, it predicted the liquidity risk of Iranian private banks from 2009 to 2019 using neural networks plus Matlab software. The research results revealed that artificial neural networks can be used to predict liquidity risk in private Iranian banks.

In this paper, first, we study bicontinuous biseparating left multipliers on Orlicz algebras in the context of a compact hypergroup and give some formula for them. Also, we assume that $\Phi$ is a $\Delta_2$-regular Young function with $\Phi\in\Delta'$ (globally) which is not equivalent to $|x|^2$, and prove that if there is an isometry algebra isomorphism between convolution Orlicz algebras $L^\Phi(G_1)$ and $L^\Phi(G_2)$, then the underlying locally compact groups $G_1$ and $G_2$ are isomorphic.

This paper discusses a numerical method for solving a first-kind Volterra integral equations system. Because of the ill-posedness of these equations, we need to apply an efficient computational method to discrete them to the system of algebraic equations. An expansion method known as the Chebyshev collocation method, based on the Chebyshev polynomials of the third kind, is employed to convert the system of integral equations to the linear algebraic system of equations. By solving the algebraic system, we conclude an approximate solution. Some numerical results support the accuracy and efficiency of the stated method.

The quantity and quality of urban cultural spaces are one of the most critical factors in the cultural development of any society. Social cohesion is a set of relationships, a coherent and organized link between group members, which originates from shared value systems and norms, collective belonging, and interaction between them. In this respect, the current research was carried out to illuminate the impact of environmental quality components on social cohesion by explaining the mediating role of social resilience in urban cultural spaces. The present study is applied in terms of purpose and descriptive survey in data collection. The research population comprised all the users of urban cultural spaces in Tabriz, from which a sample of 193 users of Al-Ghadir and 29 Bahman cultural centers was selected by simple random sampling. The data collection instruments were researcher-made questionnaires on the components of environmental quality, social cohesion, and social resilience. The validity of the questionnaires was established through face validity and content validity. Cronbach's alpha coefficient was used to determine reliability. In order to test the hypotheses, the structural equation method was used using SmartPLS software. The results of data analysis show that physical and structural components have a significant positive effect on social cohesion $ (P<0.01) $ and social resilience $ (P<0.001) $. The activity component significantly positively affects social cohesion $ (P<0.05) $. However, its effect on social resilience was not confirmed. Furthermore, the ecosystem component has a significant positive effect on social resilience $ (P<0.001) $, but its effect on social cohesion was not confirmed. Finally, according to the results of social resilience, it mediates the relationship between the physical and structural component and the ecosystem component with social cohesion; the mediation effect was more significant in the relationship between the physical and structural component with social cohesion.

In this paper, the effects of distributed generation resources and demand response programs on the placement of charging or discharging stations are investigated. The effectiveness of an optimal exploitation approach is evaluated. pivotal factors of optimal charge/discharge power in stations are a combination of technical and economic parameters. The technical parameters contain minimization of network losses, voltage loss reduction in feeders, smoothing network load curve and harmonic elimination. The placement of stations and charge/discharge power were considered the most effective economic parameters. In other words, the minimization of charge/discharge operations results in cost reduction in purchasing power. A price-based demand-response program is considered to manage loads on the customer side and smooth the load curve. meta-heuristic optimization algorithms such as genetic algorithm (GA), particle swarm optimization (PSO), and imperialist are considered to find an optimal solution. This study is simulated on an IEEE standard 69-bus network. Using a conventional hybrid algorithm shows that the problem of station replacement and charge/discharge program can be solved optimally. Moreover, the effects of an increased number of stations and a disturbance in charge/discharge capacity are examined.

In this study, we construct the fractional-order Bernstein wavelets for solving stochastic fractional integro-differential equations. Fractional-order Bernstein wavelets and their properties are presented for the first time.  The fractional integral operator of fractional-order Bernstein wavelets together with the Gaussian integration method is applied to reduce stochastic fractional integro-differential equations to the solution of algebraic equations which can be simply solved to obtain the solution of the problem.  Also, an error estimation for our approach is introduced.  The numerical results demonstrate that our scheme is simply applicable, efficient, powerful and very precise at the small number of basis functions.

Strategic planning provides a tool for organizations to follow the development and implementation of strategy in different aspects of the organization and manage their strategic performance. It is always possible to prepare and choose a suitable strategy by planning the strategy, evaluating the organization's environmental conditions and internal capabilities (weaknesses and strengths), and considering the organizational values. Competitive strategies determine the performance orientation of managers to defeat powerful competitors in international markets. This research investigates the phenomenon of myopia in the capital market and companies' strategies. The final sample of the research was selected using the systematic elimination sampling method (screening) over ten years from 2013 to 2021. The research hypotheses were investigated using ordinal logistic regression tests. The results showed an influence mechanism between the myopia phenomenon in the capital market and the company's strategy in the studied sample.

Clustering has emerged as an important tool for data analysis, which can be used to produce high-quality data partitions as well as stronger and more accurate consensus clustering based on basic clustering. Data item labels, which are already known as opposed to classification issues, are unlabeled clusters in unsupervised clustering, which may cause uncertainty in large libraries. Therefore, all clusters produced are not useful for the final clustering solution. To address this challenge, instead of selecting all of them from a subset of variants to combine for the obtainment of the final result, Clustering ensemble selection (CES) was proposed in 2006 by Hadjitodorov. The goal is the selection of a subset of large libraries to produce a smaller cluster offering higher-quality performance. (CES) has been found effective in the improvement of the clustering solutions quality. The current paper conducts a systematic mapping study (SMS) for the analysis and synthetization of the studies formerly conducted on the CES techniques. To this end, 42 prominent publications from the existing literature, published from 2006 to August 2022, were selected to be examined in this article. The analysis results showed that most of the articles have used the NMI measure to evaluate the cluster quality, and the method of valuing the initial parameter has been more commonly used for the generation of diversity. Clustering ensemble selection has not been done on text yet; in addition, the trade-off between diversity and quality (considering both at the same time) can be studied and evaluated in the future.

The purpose of this study is to investigate the video ads of the top Iranian brands and their role in customer emotion. The main issue of the research is to increase customer emotion stimulation to persuade and guide the customer to buy products and services of domestic brands with regard to identifying the dimensions of video advertising of top Iranian insurance brands. It has components and structures and what does it have to do with the dimensions of video advertising of the top Iranian insurance brands? The present research method is a combination of qualitative-quantitative methods and uses relativistic paradigms, symbolic interpretation and grounded theory strategy. The statistical population is the top Iranian insurance brands and the researcher purposefully and information-oriented analyzed the video advertisements of the two top brands in the insurance industry in Iran as a statistical sample, qualitatively and quantitatively. The sampling method of this research is available in the quantitative non-probability part and in the qualitative part, it uses the theoretical sampling method. To collect data in the qualitative part, interview and analysis and photo analysis tools were used, and in the quantitative part, a researcher-made questionnaire was used. In the qualitative stage, Maxqdapro12 software was used to analyze the interviews and images, and in the quantitative stage, the relationships of the variables extracted from the qualitative model were tested using a questionnaire by structural equations in the PLS software. The results showed that the dimensions of video advertising of top Iranian insurance brands have a significant relationship with customers' feelings.

The main purpose of this study is to predict saffron’s binding efficiency using the meta-heuristic algorithm. This collection of information is a documentary research library and the result is quantitative research. The time period from 2018 to 2021 was 5 years and the frequency of daily frequencies of the Ministry of Agricultural Jihad and Customs of Iran were collected from the Iran Mercantile Exchange (JPI). The meta-heuristic algorithm consisting of a combination of birds, bats, and cuckoos was designed. The proposed methods were modelled by coding in a MATLAB environment using normal data. The results of the computational analysis show that all models were approved; And the artificial neural network shows that price fluctuations, cash price, the volume of transactions and liquidity are of the most importance, respectively, on the yield of saffron contracts.

This paper discusses a multi-period portfolio optimization problem by considering a conditional value-at-risk (CVaR) constraint Based on prospect theory, which considers the loss-averse utility, the transaction cost and the lower bound and upper bound investment in each asset. A genetic algorithm is proposed to solve the portfolio model. The results based on the average optimal ultimate wealth and Sharp ratio criteria showed that loss-averse investors tend to concentrate most of their wealth and perform better than rational investors. The impact of CVaR on investment performance was identified. When the market falls, investors with higher risk aversion avoid extreme losses and obtain more gains.

In this paper, we prove some fixed point theorems for modular metric spaces endowed with partial order sets by using the mixed monotone mapping property which is a generalization of the definitions and results of T. Gnana Bhaskar and V. Lakshmikantham.

The purpose of the research is to investigate the effect of Golam components on auditors' behavioral bias with the structural equation technique. The target population of this research was the auditors who are members of the audit organization and private sector audit institutions, who were selected through random sampling and examined in a period of 6 months. The research tool was standard questionnaires and Partial Least Squares (PLS) analysis was used to fit and test the research hypotheses. The negative reinforcement of Golem's theory intensifies the positive effect of the auditor's behavioral and judgmental bias. In fact, based on Golem's theory, under the influence of the negative perception of his fit with the characteristics of the auditing profession, the auditor imagines negative expectations in himself and causes the auditor to suffer contradictions in his professional judgments due to the existence of perceptual errors. The desirability of professional judgments. The more ethical behavior of auditors decreases, the quality of audits decreases. Behaviors that reduce audit quality, which are caused by the behavior of auditors during the audit period, cause a decrease in the efficiency of evidence collection.

The purpose of this research is to provide a model for measuring financial literacy in the capital market of Iran. The statistical population of this research, including the qualitative part, the intended statistical population is made up of experts, and 17 people were interviewed in a targeted manner. Also, in the quantitative part of the statistical community, there are managers, analysts and financial traders of the stock exchange in Tehran province, which was determined by the simple random method and the Cochran formula, with a sample size of 280 people. A researcher-made questionnaire was used to collect data. Validity was confirmed by using the content method and reliability with Cronbach's alpha. In the qualitative part, the dimensions of the model were identified by using the foundation data approach. In the quantitative part, confirmatory factor analysis and structural equations were used to quantify the model and rank the standards. Lisrel software was used to analyze the data. The results showed that the dimensions of the model include demographic components, economic skills, social components, educational components, investment management, basic financial knowledge, advanced financial knowledge, psychological components, technological, and cultural components, government laws, economic components, financial behavior, financial attitude, organizational learning, financial skill, financial management and financial results. The results of the research hypothesis test show the confirmation of the mentioned model.

Increasing competition on a global scale has led to an increase in the number of companies looking for opportunities in international markets to achieve their goals, survive and maintain their market position. In a knowledge-based economy, the organizations’ intangible is increasingly becoming a competitive factor. Such assets are seen as the essence of competitive advantage. However, companies operating in international markets and unknown export environments face environmental uncertainty. The literature has merely addressed some aspects of export market attractiveness and comprehensive models with no comprehensive theories developed in the field. Therefore, this paper aims to systematically review and identify the factors and components of export market attractiveness in free zones. This paper adopts a Meta-synthesis method. This paper content analysis shows that the export market’s attractiveness in comprehensive themes includes internal and external factors. The building blocks of internal factors include marketing factors, information factors, and performance factors. The building blocks of external factors include procedural factors, government factors, customers, international markets, and the business environment.

Choosing the right site for creating educational services is a complex problem that involves evaluating many criteria, therefore, there is a need for a multi criteria decision-making tool that can make a reliable, coherent decision. The aim of this paper is to develop a methodological plan that can help decision-makers in determining the locations of the most important schools to build new schools by adopting seven basic criteria: The population’s actual need for schools, the distance between the school and the main street, the proximity to health centers, the number of students in each school, the number of teachers in each school, the proportion of teachers to students, the number of students in each class(.that were selected by a group of specialists and experts. The use of the (Eigen value) method to calculate the relative importance of these criteria, combined with the A multi-criteria decision-making technique (TOPSIS), The final results showed that the relative priority of the criteria is respectively) 46.6%, 15.9%, 15.0%, 5.5%, 4.10%, 8.8%, 4.2%, (And the percentage of schools that were in the four categories, respectively (6%,10%,13%,26%), One of the most important recommendations is to bridge the deficit experienced by the educational services provided within the study area by adopting the results that were reached above, by choosing sites to build new schools that take into account the basic standards.

Social networks and social media provide customers with the opportunity to talk about products and services purchased and to share their experiences with others. The purpose of this study is to design and validate an effective model for evaluating the role of online advertising on the consumer purchasing decision process in food chain stores in Guilan province (with a quantitative approach). The present study is conducted with a quantitative approach. The statistical population in a small part also includes customers of food chain stores in Gilan province. Using the Cochran's formula for indeterminate communities, 384 people have been calculated as a sample. Cluster sampling method and available individuals were used for sampling. Semi-structured interview and Likert scale questionnaire were used to collect data. An initial model was designed to analyze the data using structural-interpretive modeling and MICMAC software. Structural equation modeling and SMART-PLS software were used to validate and present the final model. Findings showed that online advertising has an impact on strategic social media marketing, sponsored content, content marketing and further these variables lead to the management of consumer experience. Emotional commitment to the brand, perceived risk, consumer satisfaction affect the management of the consumer experience and ultimately leads to the decision to buy the consumer. Increasing the understanding of the role of social media for stakeholders in the field of marketing is essential and by applying the achievements of the present study, it is possible to improve online advertising on the consumer purchasing decision process.

In this paper, we extend very recent fixed point theorems in the setting of ordered non-Archimedean fuzzy metric spaces. We present some fixed point theorems for self-mappings satisfying generalized $(\phi,\psi)$-contraction conditions in partially ordered complete non-Archimedean fuzzy metric spaces. On the other hand, we consider a more general class of auxiliary functions in the contractivity condition and we extend recently fixed point theorems for complete ordered non-Archimedean fuzzy metric spaces.  Also, we present a few examples to illustrate the validity of the results obtained in the paper.

Generally, the Black-Scholes model and its analyses can be presented in several different ways, ranging from the highly theoretical to the very applied approach. In this article, we will show in detail the applied methodology, the calculations and which effects the applied stress will have on the Black-Scholes option pricing model. One of the aims of nonlinear analysis is to investigate related topics to the analysis of partial differential equations and their applications. To provide for the further development of the Black-Scholes model and the Black-Scholes partial differential equation, we study some related problems. For example, we conclude that the number of call options and volatility increases at the same time.

Errors-in-variables regression is the study of the association between covariates and responses where covariates are observed with errors. In this paper, we consider the estimation of regression functions when the independent variable is measured with error. We investigate the performances of an adaptive wavelet block thresholding estimator via the minimax approach under the $L_p$ risk with $p \geq 1$ over Besov balls. We prove that it achieves the optimal rates of convergence.

In this paper, we introduce a further generalization of the cyclic contraction mappings. Our main results generalize the recent related results proved by  M. Jleli and B. Samet [8] and solve a best proximity point problem. In order to show the applicability of our main results, an example is presented.

An interval set (or an interval-valued set), is a special set, which is an effective tool for illustrating and describing obscure information systems and partially known problems. Recently, Kim et al.\cite{r5} defined the topological structure for interval-value sets and studied many properties of them. In this work, we discuss some characteristics and relations of continuity in interval-valued topological spaces with some necessary illustrative examples. Then we provide a categorical framework for interval-valued topological spaces $\mathcal{IV}$-$\mathcal{TOP}$. Many functors and subcategories of $\mathcal{IV}$-$\mathcal{TOP}$ are defined and studied. Furthermore, the relationships between the $\mathcal{IV}$-$\mathcal{TOP}$ and its subcategories are investigated. We show that the category $\mathcal{TOP}$ is isomorphic to the category $\mathcal{IV}$-${\mathcal{TOP}_{1}}.$ Moreover, we demonstrate that $\mathcal{TOP}$ and $\mathcal{IV}$-$\mathcal{TOP}_{1}$ are bireflective full subcategories of $\mathcal{IV}$-$\mathcal{TOP}$.

The purpose of this paper is to investigate the finite-order transcendental entire solutions to specific types of non-linear differential-difference equations. Moreover, our results generalize some of the previous results. Some examples are provided to show that our results are best in certain sense.