International Journal Of Nonlinear Analysis And Applications
Volume:14 Issue: 2, Feb 2023

Owing to the notion of L-fuzzy mapping, we establish some common $L$-fuzzy fixed point results for almost $\Theta$-contraction in the setting of complete metric spaces. An application to theoretical computer science is also provided to show the significance of the investigations.

In this paper, we give the existence results of nontrivial positive solution to the integral-infinite point Hilfer-fractional boundary-value problem involving a generalized (p₁(x),p₂(x),...,p_{n}(x))-Laplacian operator

Using fixed point methods, we prove the Hyers-Ulam stability and the superstability of $n$-Jordan $*$-homomorphisms in Fr\'echet locally $C^*$-algebras for the generalized Jensen-type functional equation$$r f\left(\frac{ a+b}{ r} \right) + r f\left( \frac{a-b}{r}\right) =2f(a),$$where $r$ is a fixed  real number greater than $1$.

The main crux of this research manuscript is to study the existence and uniqueness of generalized mild solutions for nonlinear Schrodinger equations with singular initial conditions in the extended algebras of generalized functions. The proofs are based on generalized semigroups theory and Gronwall's inequality. As an application, our theoretical results have been illustrated by providing a suitable example.

Recently, the authors introduce a four-step iterative algorithm called the UD-iteration scheme (Udofia and Igbokwe [35]). Here we introduce the multivalued version of the UD-iteration scheme and show that it can be used to approximate the fixed points of multivalued contraction and multivalued generalized $\alpha$-nonexpansive mappings. we prove strong and weak convergence of the iteration scheme to the fixed point of multivalued generalized $\alpha$-nonexpansive mapping. We also prove that the scheme is $\varUpsilon$-stable and Data dependent. Convergence analysis shows that the multivalued UD-iteration scheme has a faster rate of convergence for multivalued contraction and multivalued generalized $\alpha$-nonexpansive mappings than some well-known existing iteration schemes in the literature.

Improving income distribution is considered as one of the components of economic development in the Iranian economy, especially in the years after the Islamic Revolution. Due to the dependence of the government budget on oil revenues (40%) and the high share of subsidies in the annual budget (10%) of the Iranian economy, fluctuations in the global oil market, sanctions imposed in this area and the subsequent uncertainty in the realization of Oil revenues can affect government budgets and revenue distribution. In this study, in order to study the effect of drug price liberalization on inequality and income distribution using the Gini coefficient index, the integrated data model in the period 2010: 1 to 2019: 4 has been used. The results show that drug price liberalization has a negative and significant effect on the level of income distribution in the short run.

In this paper, we further develop the notion of cyclic $(\alpha, \beta)$-admissible mappings introduced in (\cite{tac}, S. Chandok, K. Tas, A. H. Ansari, \emph{Some fixed point results for TAC-type contractive mappings,} J. Function spaces, 2016, Article ID 1907676, 1--6) and $(\psi, F)$-contraction mappings introduced in ( \cite{wad1}, D. Wardowski, \emph{Solving existence problems via $F$-contractions,} Proceedings of the American Mathematical Society, 146 (4), (2018), 1585--1598), in the framework of $b$-metric spaces. To achieve this, we introduce the notion of $(\alpha,\beta)-S$-admissible mappings and a new class of generalized $(\psi, F)$-contraction types and establish a common fixed point and fixed point results for these classes of mappings in the framework of complete $b$-metric spaces. As an application, we establish the existence and uniqueness of the solutions to differential equations in the framework of fractional derivatives involving Mittag-Leffler kernels via the fixed point technique. The results obtained in this work provide extension as well as substantial generalization and improvement of the fixed point results obtained in \cite{tac,wad1, wad} and several well-known results on fixed point theory and its applications.

In this paper, we ensure the existence of a unique fixed point in quasi $b$-metric spaces for some contraction mappings requiring the concept of $\Psi ^ {*}$-admissibility. The Ulam-Hyers stability and well-posedness of these fixed point results have been studied and investigated. The obtained results generalize and extend many known results in the literature.

The economies of countries may face a variety of shocks driven by various factors, leading to high economic and non-economic costs. Therefore, it is essential to investigate different external shocks in the economy, as well as how these shocks can be managed. Accordingly, this study aims to investigate the effect of external shocks (global oil price shock, global inflation, and foreign interest) on macroeconomic variables. This study also seeks to examine a type of monetary policy consistent with Iran's economic conditions. Focusing on the New Keynesian School of thought, this study develops a stochastic dynamic general equilibrium (SDGE) model compatible with the situation of Iran. This model is comprised of these sectors: household, oil, non-oil, import, final goods production, and government. After performing linearization procedures, this study analyses the shocks responses and results, with a focus on the three rules of monetary policy (headline inflation, core inflation targeting, and exchange rate) for the purpose of optimal monetary policy. Studies show increasing number of variables being investigated, but in some cases, this trend has quickly reached stability, yielding an appropriate pattern for adopting the optimal policy. However, in some cases, including GDP, we experience a decreasing response of variables regarding the adoption of headline inflation and exchange rate policies. Consequently, it is necessary to evaluate the appropriate policy. Regarding the deadweight loss in relation to the three monetary rules, the findings of this study show that in the face of volatilities studied, household deadweight loss is affected more strongly by headline inflation rule than the other two policies. In contrast the exchange rate rule plays a less important in the amount of deadweight loss.

In this article, the influence of various factors and conditions of data transmission on the energy reserve of radio communication channels with small-sized unmanned aerial vehicles performing flight tasks within the "smart cities" with dense buildings is evaluated using mathematical modeling. It is shown that modern cities of this type, due to the presence of buildings of various heights with various reflection coefficients and a significant level of electromagnetic interference, create specific conditions for the propagation of radio waves, forming multipath fields with a complex interference structure and sharp spatial changes in signal levels, which creates a number of issues related to both the quality of communication and its reliability, including, in particular, the determination of energy reserves of radio communication channels. For their quantitative evaluation, mathematical models, typical data transmission parameters and energy characteristics of both unmanned aerial vehicles and ground-based control systems were selected. On their basis, a corresponding study of the energy reserve of the radio communication channel was conducted, and the corresponding conclusions were drawn based on the results of modeling.

Let $G_{\tau}=(V, E)$ be a topological graph constructed from the topological space $(X, \tau)$. In this paper, several types of dominating parameters are applied on the topological graph $G_{\tau}$. Such as independent domination, total domination, connected domination, doubly connected domination, restrained domination, strong domination and weak domination. Also, the inverse domination of all these parameters was proved.

The present study, while explaining the concept of social responsibility with the Iranian-Islamic approach, based on the conceptual framework of accounting and reporting framework of social responsibilities, examining the desired features, seeks to provide a conceptual framework for reporting corporate social responsibility with the Iranian-Islamic approach. The present study is a descriptive-survey research and the data are based on the design and distribution of a researcher-made questionnaire in a community of 10 experts in the field of accounting and auditing and familiar with issues related to corporate social responsibility and Religious components as well as experts in later greetings have been collected. The results show that in terms of reporting objectives, quality characteristics of information, responsibility for preparing and submitting reports, accreditation, institutions that develop corporate social responsibility standards and financing, there are many similarities with the field of financial reporting; However, the qualitative characteristics of social responsibility information with the Iranian-Islamic approach are inconsistent with the qualitative characteristics of the ISO 26000 standard for social and private sector social responsibility in 2011. Principles and Principles The conceptual framework of corporate social responsibility reporting with the Iranian-Islamic approach is similar to the principles and principles of conventional social responsibility reporting.

In this paper, we are interested in obtaining fixed point theorem for mappings in S-metric space by wearing the completeness of S-metric space using relations. As consequences, an application to existence and uniqueness of solution of integral equation is given.

In this paper, a cubic objective programming problem (COPP)is defined, which is in the form of multiplying three linear functions. The simplex method is modified to solve a cubic objective programming problem. An algorithm for its solution is suggested. The algorithm of the usual simplex method is also reported. A vital application talks about how the developed algorithm can be utilized to unravel non-linear. The proposed technique can be illustrated with the constructed numerical examples and it showed steps by tables. The results of the study indicate that the new technique, modified simplex, gets the same result which is exactly similar to other methods such us (quadratic, linear simplex method).

New methods of machine learning in Artificial Intelligence (AI), changing the parameters and naturally finding the most logical and optimal solution possible based on what has been learned in the past, reducing the search space, reduce decision error. The use of these new methods of calculation, mathematics, and artificial intelligence has increased in recent years in the capital market, but most of the methods of portfolio construction are based on the traditional methods of the past and, of course, more in the category of asset classification. In this paper, most algorithms that had been used in other research are implemented and tested. The results of this research show that PSO (Particle Swarm Optimization) and GWO (Grey Wolf Optimizer) are the best algorithms for forecasting financial markets. Both algorithms have the same capability and show good results.

In this paper, we propose an iterative method for finding the common element of the set of fixed points of Reich-Suzuki nonexpansive mappings and the set of solutions of the variational inequalities problems in the framework of Hilbert spaces. In addition, we establish convergence results for these proposed iterative methods under some mild conditions. Furthermore, we establish analytically and numerically that our newly proposed iterative method converges to a common element of the set of fixed points of a Reich-Suzuki nonexpansive mapping and the set of solutions of the variational inequalities problems faster compared to some well-known iterative methods in the literature. Finally, we apply our proposed iterative method to approximate the solution of a convex minimization problem. The results obtained in this paper improve, extend and unify some related results in the literature.

The approximate equation for the forced fractional oscillator is obtained by approximation of the Riemann- Liouville fractional derivatives. And the approximate symmetries and conservation laws of the forced fractional oscillator are derived when the system is in resonance.

Prospect Theory basically describes how people evaluate profits and losses. This theory indicates that a person makes a certain choice, but does not expect a definite result. The present study predicts the causal relationships between the constructs of prospect theory including risk attitude, subjective accounting and overconfidence, and decision-making behaviour of traders resulting from mass behaviour, cognitive, and emotional bias. The statistical population is active traders in the capital market within the country and a standard questionnaire was used to collect data. The relevant analyzes were performed based on the Lineal Structural Relations approach after performing the reliability and validity tests of the sample data. The test results of the hypotheses showed that the structures of prospect theory have a significant effect on the decision-making behaviour of traders.

In this manuscript, we introduce generalized orthogonal ($\mathfrak{f^{*}}, \psi)$-contraction of kind (S) and use this concept to establish $\psi$-fixed point theorems in the frame of O-complete orthogonal metric space. Secondly, we introduce the new notion of generalized orthogonal ($\mathfrak{f^{*}}, \psi)$ expansive mapping and utilize the same to prove some fixed point results for surjective mapping satisfying certain conditions. Our results extend and improve the results of  [3] and [7] by omitting the continuity condition of $F\in \Im$ with the aid of $\psi$-fixed point. We also give an illustrative example which yields the main result. Also, many existing results in the frame of metric spaces are established.

In this article, a new fixed point theory and generalized condensing operator have been established to prove the existence of solutions for an infinite system of differential equations of $n^{th}$ order. Also, some interesting examples are employed to support the findings. To validate our discussion the solutions of the examples are approximated by an iterative algorithm with high accuracy. The algorithm is convergent and constructed based on the modified homotopy perturbation method.

This paper aims to design a good governance model to facilitate the country's business environment and improve Iran's ranking in the ease of business environment conducted annually by the World Bank. This paper examines developing countries among all countries of the world to improve their business environment ranking. This is a mixed-method (quantitative and qualitative) study based on data from the World Bank in 2017, 2018, and 2019. Then, the model of improving Iran's business environment was evaluated through in-depth interviews with 15 industry and university experts. This paper evaluates indices proposed by experts' opinions, including the right to comment, political stability and non-violence, government effectiveness, quality of laws, the rule of law, and control of corruption. The results show that in the first model, the right to comment and the rule of law are the most and the least significant factors in facilitating the business environment, respectively. In addition, in the second model, the quality of laws and government effectiveness are the most significant factors, with the rule of law, control of corruption and political stability, and non-violence as the least significant ones.

Human resource management is a dynamic discipline which is strongly related to behavior of individuals and can be effective in a strategy of the strategic goals of the organization. The present study has been carried out with the aim of meta-synthesis of strategic human resource management in the Tax organization of Iran. The researchers have carried out a precise and deep review of the subject, using the meta-synthesis method. For this aim, 33 proper articles have been identified among a lot of articles, by referring, to valid available documents on websites the same as Google, Magrian, and Science Direct, in interval of 1994–2021. These factors were analyzed and categorized into one main category and 6 axial codes and 41 open codes based on 3 steps coding in MAXQDA software. In order to measure the reliability and quality control of the present study, the Kappa method was used. The Kappa coefficient which have been calculated by SPSS software was equal to 0.911 which has been in the level of excellent agreement. Effective factors on strategic human resource management in the tax organization of Iran which have been identified in this study include managerial, personnel, training, organization evaluation, organizational, and commitment factors and based on obtained results it is suggested that the Tax organization of Iran have a positive effect in advancing the strategic goals of the organization.

In this paper, new iterative schemes called DI-iterative scheme, Chugh-DI iterative scheme and IH-iterative scheme are introduced and studied. In addition, convergence and stability results were obtained without necessarily imposing 'sum conditions' on the iteration parameters, which, among other things, increase the bulkiness and complexity of computations as was the case for several works studied so far in the literature.

Sorting agricultural products refers to grading food and other crops based on size, color, appearance, and other factors such as separating impurities, fruits, and damaged and rotten products. Today, sorting technology and related equipment for grading agricultural crops are progressing in developed countries, which can be found in most large agricultural units. Therefore, initial packaging and transportation of the product are facilitated, and more added value can be provided for farmers. This study aimed to optimize the raisin sorting machine based on a genetic algorithm to increase the quality of raisin grading. Therefore, a seedless white variety of grape samples were randomly selected and prepared from an orchard in Makan, East Azerbaijan, Iran. Digital image processing techniques such as the image processing toolbox in MATLAB were used to extract features from an image for sorting. Other meta-heuristic algorithms such as PSO, differential evolution, and artificial bee colony algorithm were used to evaluate the accuracy of the results. According to the results, the artificial bee colony algorithm had better accuracy than other algorithms, but the convergence speed was lower, and the computational volume was higher. However, the genetic and PSO algorithms had an accuracy almost equal to the artificial bee colony algorithm despite having a higher speed of convergence and lower computational operations, which can be used as the best algorithm in this application. Differential evolutionary algorithms and harmony search require processing in many iterations, and the computation time is not economical. Therefore, the clustering of raisins in industrial units requires high clustering speed and minimum error to avoid discarding or outliers, and genetics and PSO algorithms were acceptable.

The current paper investigates the relationship between comparability of accounting, quality of financial reporting and pricing of accruals. Thus, data for 107 companies listed on the Tehran Stock Exchange for a period of ten years (from March 2011 to March 2020) were extracted and then research variables were calculated and the necessary statistical tests were performed. This is a descriptive-corequational experiment using a post-event approach. the research hypotheses were tested through multiple linear regression based on composite data. Statistics and econometrics have examined and tested the hypotheses. Research findings showed a significant positive relationship between the comparability of accounting and the quality of financial reporting as well as a significant negative relationship between the comparability of accounting and pricing of accruals.

In this study, a reproducing kernel Hilbert space method with the Chebyshev function is proposed for approximating solutions of a second-order linear partial differential equation under nonhomogeneous initial conditions. Based on reproducing kernel theory, reproducing kernel functions with a polynomial form will be erected in the reproducing kernel spaces spanned by the shifted Chebyshev polynomials. The exact solution is given by reproducing kernel functions in a series expansion form, the approximation solution is expressed by an n-term summation of reproducing kernel functions. This approximation converges to the exact solution of the partial differential equation when a sufficient number of terms are included. Convergence analysis of the proposed technique is theoretically investigated. This approach is successfully used for solving partial differential equations with nonhomogeneous boundary conditions.

Today, many companies strive to be more responsible and meet consumers’ needs as much as possible. Sustainable consumption refers to consuming products, which are helpful, environmentally friendly, recyclable, and responsive to environmental concerns. Therefore, this study aimed to propose a model of sustainable consumer behavior in the insurance industry. This applied and exploratory research was conducted using a field method, questionnaire, and interview tools with quantitative and qualitative data. The research population was industry experts and professors in the insurance industry, who were selected by judgmental convenience sampling method (20 people) for localization of the model. The data were collected through a researcher-made questionnaire based on pairwise comparisons of research components. In addition, fuzzy DEMATEL methods and fuzzy analytic process network (FANP) were used to analyze the data in Excel software. First, the criteria were identified by reviewing scientific texts and confirmed by university professors. The reliability of the factors was confirmed by Cronbach's alpha greater than 0.7. Then, seven main factors and 18 important sub-factors were identified using the fuzzy Delphi technique. The effectiveness and impressiveness of each factor were determined using the fuzzy DEMATEL technique. Among the main factors, "consumer knowledge of sustainability" with an impact value of 0.8 was the most effective factor, and "perceived market impact factor" with a net impact factor of -0.085 was the most impressive factor. The identified factors were prioritized using the FANP technique. Finally, the highest weight was related to the criterion of the religious spirit. Moreover, perceived market impact factors, sustainable consumer

‎In this paper‎, ‎‎a common zero of a finite family of monotone operators on Hadamard spaces is‎‎ approximated via Mann-type proximal point algorithm. Some applications in convex minimization and fixed point theory are also presented.

In today's world, increasing demand changes, intense competition, shortening the product life cycle, and on the other hand, the movement of manufacturing towards globalization has forced organizations and companies to develop new products globally. Therefore, the purpose of the present study was to rank the success factors of NPD with a WCM approach in Iran. In the first part of the research, 14 interviews were conducted with professors, experts, and managers of the food industry. After conducting interviews and collecting data, the codes obtained in different sections were analyzed using the grounded theory. After performing the three open, axial, and selective coding steps, the final model was obtained. In this research, Atlas-ti software has been used to analyze the data. The final model consists of a set of causal conditions, underlying conditions, intervention conditions, main categories, strategies, and finally, the consequences and results of the success of NPD with a WCM approach in the food industry. Each of these conditions and the factors that make up the model has variables and categories that pay attention to them to achieve the ultimate goal of designing a model for the success of NPD with a WCM approach. In the second part of the research, the relationship between the variables was examined using a pairwise comparison questionnaire, and the data were analyzed using the fuzzy BWM method using Lingo software.

Making use of the convolution product, we introduce a unified class of analytic functions with negative coefficients. Also, we obtain the coefficient bounds, extreme points and radius of starlikeness for functions belonging to the generalized class $ \mathcal{TP}_{\vartheta,\tau}^{a,c}(\alpha ,\beta).$  Furthermore, partial sums $f_k(z)$ of functions $f(z)$ in the class $\mathcal{P}_{\vartheta,\tau}^{a,c}(\alpha ,\beta)$ are considered and sharp lower bounds for the ratios of real part of $f(z)$ to $f_k(z)$ and $f'(z)$ to $f'_k(z)$ are determined. Relevant connections of the results with various known results are also considered.