International Journal Of Nonlinear Analysis And Applications
Volume:14 Issue: 4, Apr 2023

In this article, we introduce the concept of ℜ-control fuzzy metric spaces. We prove some fixed point results in the sense of ℜ-control fuzzy metric spaces and furnish our work with several non-trivial examples to verify the validity of the proposed results. In the end, we incorporate this work with an application to solve an integral equation.

The aim of this study is on using Bayesian inference to analyze right-censored healthcare data using Frechet and exponential baseline proportional hazard (PH) models. For the baseline hazard parameters, a gamma prior was used, and for the regression coefficients, normal priors were used. The exact form of the joint posterior distribution was obtained. Bayes estimators of the parameters are obtained using the Markov chain Monte Carlo (MCMC) simulation technique. Two real-survival data applications were analyzed by the Frechet PH model and the exponential PH model. The convergence diagnostic tests are presented. We found that the Frechet PH model was better than the exponential PH model because it is flexible and could be beneficial in analyzing survival data.

We propose the iterated Jacobi spectral multi Galerkin method for weakly singular Volterra integral equations of Urysohn type and obtain the superconvergence results in uniform norm. The convergence analysis is discussed in two cases: when the solution is sufficiently smooth and when it is not. To back up our theoretical approach, we present numerical findings.

In the present paper, we introduce two new subclasses of the function class P of bi-univalent functions defined in the open unit disc U. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses.

Given the role and importance of the customer in online shopping, addressing the customer experience in order to improve online shopping in electronic startups in the field of health, safety, and environment is important, so this study aims to identify and evaluate factors to improve online shopping. Based on customer experience in electronic startups in the field of health, safety, and environment. This research is applied research in terms of purpose and is a descriptive survey in terms of data collection. The method of data collection in this study was a questionnaire. The results showed that these dimensions have a positive effect on improving online shopping based on the customer’s empirical process and encourage customers to repurchase. Utilizing the introduced model helps e-startups to identify these dimensions and increase the performance of their startups by eliminating their weaknesses and strengths in the relevant field, and also while retaining current customers, and more users by purchasing Attract online.

This work introduces the quantum analogue of the dual Simpson type integral inequalities for the class of q-differentiable convex functions through a new identity. The results are also accompanied by their applications.

We prove a common coupled fixed point theorem on fuzzy bipolar metric spaces. An application of our key results is given to solve a system of integral equations. Our results generalize and expand the literature’s well-known results.

The present research aimed to investigate the explanatory roles of audit report disclosure, audit variables, and corporate governance mechanisms in explaining the causes of business failure in companies listed on the Tehran Stock Exchange from the perspective of company managers. To this end, 249 senior managers from companies listed on the stock exchange were selected using convenience and purposive sampling methods, and a researcher-made questionnaire was emailed to them. The present research had a survey-causal type. The data collection tool included a researcher-made questionnaire that evaluated the roles of three main research variables in explaining the causes of business failure. The validity and reliability of the research tools were confirmed. Analysis of data was performed in SPSS and LISREL (through confirmatory factor analysis). The audit report disclosure about negative working capital (among the audit report disclosure variables) with a coefficient of 6.68, auditor tenure (among the audit variables) with a mean coefficient of 6.05, ownership concentration (corporate governance mechanisms) with a mean of 3.86 had the highest importance and impact in explaining the causes of business failure. In general, audit variables with a coefficient of 2.29 had the highest importance and impact in explaining the causes of business failure. The results of structural equations indicated that the business failure model was valid based on three main research variables. Furthermore, all three variables played significant roles in explaining the causes of business failure.

This study addresses the impact of traffic noise on educational buildings. By selecting a sample, a classroom in the Department of Architectural Engineering at the University of Technology during the academic year 2021/2022 AD. The noise level was measured inside the given hall and outside it. The hall is located on the ground floor of the department, and measurements were taken using the Professional Environment Meter (P.E.M). The study covered 10 days to give actual and realistic readings after taking them at different times. The rate was calculated for the hall. The result of the calculation (average) showed that it exceeded the limit allowed for classrooms of (40db-db.30) for this educational institution. This study is the first of its kind because it discusses the impact of traffic noise on educational buildings and concludes that noise pollution is one of the most disturbing sounds for humans. Some movement activities can produce harmful noise as a result of continuous movement. This can cause some distractions in the learning process.

We investigate in this paper a value problem related to the following nonlinear higher-order wave equation
ηtt + ( −Δ) mη −  Zt  0 g ( t − s) ( −Δ) mη ( s) ds + ηt = |η|p( x) −2 η.
Firstly, we prove the existence and uniqueness of the local solution under suitable conditions for the relaxation function g and viable-exponent p ( .) , using a method, which is a mixture of the Faedo-Galarkin and Banach fixed point theorem, and prove also the solution blows up in finite time. Finally, we give a two-dimensional numerical example to illustrate the blow-up result.

This paper focuses on the anti-synchronization of two identical and non-identical chaotic fractional-order financial systems with disturbance observe (FOFSDO), such that the anti-synchronization is discussed with new parameters and disturbance in the slave system by using the nonlinear active control technique. The stability of the scheme is proved by applying the Lyapunov stability method for the error system. The result of anti-synchronization with disturbance is applied in cryptography. Numerical examples and simulation analysis indicate the application and validity of the scheme and considered system.

One of the main objectives of fiscal policy is to stabilize business cycles and macroeconomic stability. Procyclical fiscal policy intensifies business cycle fluctuations and increases the economy’s vulnerability to external shocks. Determining the cyclical properties of various types of government expenditures helps the government to adopt an appropriate fiscal policy in times of economic crisis in a way that ensures economic stability. The purpose of this paper is to evaluate the cyclical features of fiscal policy and its determinants with respect to the various types of government expenditures in Iran. Using Iran’s time series data from 1980 to 2019 and a regression-based method with a two-stage autoregressive distributed lags model, this study shows that fiscal policy in Iran is procyclical and therefore does not pursue stabilization. In addition, among the various types of government expenditures, government investment in machinery and total government investment has the highest level of procyclicality. Adding control variables intensifies the procyclicality of government investment in construction and government investment in machinery and total government expenditures, and reduces the procyclicality of government consumption and total government investment.

To introduce a new four-parameter lifetime distribution that will be more flexible in modelling real lifetime data over the existing common lifetime distributions. The new four-parameter lifetime distribution is generated by using the odd Chen generator of distributions. In this method, the probability density function and cumulative distribution function of Fr´echet distributions are used as a base distribution for odd Chen Fr´echet distributions. The probability density function and cumulative distribution function of the Fr´echet distributions are substituted in the odd Chen generator of the distributions model to get the new and more flexible lifetime distribution for modelling real-life data. The authors reveal that the hazard rate of the odd Chen Fr´echet distributions is increasing. They also found that the odd Chen generator of distributions gives a much close fit than the Fr´echet Distribution (FD), Weibull distribution(WD), and exponential distribution (ED). In this study, a novel probability distribution is introduced. odd Chen generator of distributions is capable of modelling upside-down bathtub-shaped hazard rates. The model is appropriate to fit the asymmetrical data that are not correctly fitted by other distributions. The said distribution can be applied to different fields like insurance, earthquake data for analysis, reliability etc.

In this paper, we investigate the transferred superstability of the p-radical functional equation
f  (p r xp + yp 2 !2)  − f   (p r xp − yp 2 !2) = f(x)f(y)
with respect to the sine functional quation from the Pexider type p-radical functional equation f ( p √ xp + yp) + g ( p √ xp − yp) = λ · h(x)k(y), where p is an odd positive integer and f is a complex valued function. Furthermore, the results are applied to the stability of the cosine type p-radical functional equations.

Buildings are the main pillars of social and economic development of countries and they consume a huge amount of energy and natural resources. This energy consumption is 30 − 50% on average. The present study aims to investigate the effect of the locations of buildings around neighboring buildings and pathways on the payback period of optimization. The research scope includes common residential apartments in Tehran. According to the research method, we consider 6 similar residential blocks in different lighting situations. Using simulation in Design Builder software, we calculate their energy consumption and then optimize their energy consumption. The optimization variables are as follows: the material of the outer wall (clay or LECA) and the fa¸cade (stone or brick), the type of window glass (plain or low-emissivity), the type of gas between the layers of the window glass (air or argon), and the ratio of the window to the surface of various directions the building. The optimization goals include the minimization of energy consumption and construction cost. Design Builder software and genetic algorithm are used to optimize the variables. After optimization, the 6 selected optimized blocks are then calculated in the simulation software and their energy consumption is calculated and compared with the results before optimization. The research results indicate that the mean reduction in energy consumption is 77% in the northern blocks, 65.2% in the southern blocks, and 71% in all blocks, and the optimization results in the northern blocks are about 12% better than the southern blocks. Given the proposed optimization changes, we calculate and compare the increase in the construction cost of each block. The results indicate that the mean increase in the construction cost is 1.6% in the northern blocks, 2.7% in the southern blocks, and 2.2% in all blocks, and the increase in the costs of building northern blocks is about 1.1% less than southern blocks. According to the prices of electricity and gas in Iran, we measure the annual energy cost saving and the results indicate that the payback period of optimization is about 7.7 years in the northern blocks, 13.8 years in the southern blocks, and 10.8 years in average, and the calculations indicate that if the mean global energy prices prevail in Iran, this time reduces to 6 months.

The most recent performances in fixed point theory related to the fixed point, coincidence point, and coupled coincidence point involving mappings in ordered metric spaces are the result of concentrated overwork ordered metric space. Its conclusion was expansive and generalized to well-known oral literature results. A few fixed point outcomes were discovered to be sophisticated self-mappings. Anything that satisfies a generalized week contraction was partially ordered as m-metric space (mms). The specific results also include two self-mappings for coupling coincidence points, coupled common fixed points, and coincidence points in the same qualification. An example is offered to support the findings.

The main objective of the current study is to investigate the fractional ordered thermoelastic stress analysis of a thin circular plate under axi-symmetric heat supply. Initially, the plate is characterized by the initial temperature T0(r, z). The boundary value problem is formulated with a circular plate model where the perimetric edge is clamped and convection, and the upper and lower surfaces are subjected to heat convection with convection coefficient hc and fluid temperature T∞. The variable separable technique and Green’s function approach scheme have been employed to solve the heat conduction equation. The impacts of the fractional ordered derivative of some other parameters on temperature, deflection, and stress profiles will be analyzed in detail. For instance, the results indicate that the temperature and thermal deflection are directly proportional to the fractional order parameter α. Also, the parameter α represents the weak, normal, and strong conductivity, within the range of 0 < α < 1, α = 1 and 1 < α < 2 respectively.

In order to explain the stock price crash risk as a proxy to measure asymmetry in risk, despite its importance in portfolio analysis and capital assets pricing, no model has been designed. At the same time, it is very vital and necessary to identify the effective factors on the stock price crash risk in the Tehran Stock Exchange, which is a nascent, inefficient and developing market; because this risk is an inhibiting factor in attracting financial resources in the capital market. Therefore, in the present research, a model has been presented for the effective factors on the stock price crash risk. In this research, in order to identify the effective factors on the stock price crash risk, the data of 127 listed companies during the period of 2010 to 2020 was used and for their analysis, the partial least squares structural equation modelling method was used in PLS 3 software. It is necessary to explain in relation to the structural equation model, data and research variables (except for dummy variables) have been entered into the model in decimal form. The effective factors include specific characteristics of the company such as growth opportunity, agency cost, size, performance and risk of the company, corporate governance including the subcategories of governance quality and audit quality, quality of accounting information, capital market situation, economic situation and political relations, and the two criteria contain the negative skewness of the stock return and the fluctuation of the company’s weekly return has been used to measure the stock price crash risk. The findings of the research indicate that the effect of growth opportunity, size, company performance, audit quality, capital market situation and economic situation on various criteria of the stock price crash risk is negative and significant and the effect of agency cost on various criteria of the stock price crash risk has been positive and significant. Meanwhile, the stock price crash risk was independent of the company’s risk, governance quality, and accounting information quality. However, the results related to the effect of political relations on various indicators of the stock price crash risk have been contradictory.

Various methods are used to improve the heat transfer coefficient of fluids flow inside the various cross-sections of channels, and one of these methods is the use of porous media (PM) in various engineering and industrial applications such as heat exchangers and storage tanks for solar energy. This research paper shows a numerical study using the COMSOL Multiphysics 6.0 program, the effect of the PM (Glass Spheres) inside a square-shaped channel (12 * 12 cm2) by taking three different locations of the PM for two cases (constant heat flux, and constant wall temperature) at the lower surface of a test section and knowing their effect on the distribution of temperature, and velocity to compare them with the absence of the PM for the same channel. The results showed the best temperature distribution to get the best heat transfer coefficient and thus increase the Nusselt number in position (1) of the PM for the test section.

In this paper, some important features of Traub’s method are studied: Analysis of the stability behavior, obtaining the 4th root of a matrix, semi-local convergence, and local convergence. The stability of Traub’s method is studied by using the dynamic behavior of a family of 4th-degree polynomials. The obtained equations are very complex and do not solve with the software. Therefore, we find the results by plotting diagrams and pictures, and then we show the very stable behavior of Traub’s method. Then Traub’s method is extended to a matrix iterative method for calculating the 4th root of a square matrix. We also present the local and semi-local convergence of the method based on the divided differences, and therefore, the benefits of our approach are more precise error estimation in semi-local convergence and a large ball of convergence in local convergence. We confirm our theoretical results by some numerical examples such as the nonlinear integral equation of mixed Hammerstein type.

According to financial management theories, there are different measures for assessing the financial performance of business units, and banks are not excluded from this rule. This research seeks to develop a model based on the relationship between the efficiency of the budgeting system and the indices of value-based performance assessment in Iran’s Saderat Bank. A questionnaire was used for this purpose. The statistical population of this research is the employees of SADERAT BANK, Kermanshah Province, which is 490 people. The sample size was 216 people based on the random sampling method and with the help of the Kookran limited community formula. Then by statistical tests, using SPSS and AMOS software, information about respondents including 216 questionnaires completed by employees of SADERAT BANK of Kermanshah province revealed that the efficiency of the budgeting system and the indices of value-based performance assessment with correlation coefficient Positive and meaningful. Other research findings show a positive and significant relationship between the value-added of human resources, economic valueadded, market value-added, cash value-added and economic value-added. According to the research results, proper management of the costs and capital employed could improve economic value added.

In this paper, two novel iteration algorithms called Jungck-DI-Noor-multistep and Jungck-DI-SP-multistep iterative schemes are introduced and studied. Using their strong convergence, a common fixed point of nonself mappings was achieved without any imposition of ’sum conditions’ on the control sequences. Further, we studied and proved the stability results of our new iterative schemes in the setting of a real Hilbert space. Our results improve, generalize and unify several known results currently in the literature.

In this paper, we define relations between the best approximation and the worst approximation. We show that these relations are equivalence relations if the sets are Chebyshev or uniquely remotal. We obtain cosets sets of best approximation and cosets sets of worst approximation. We obtain some results on these sets, for example, compactness and weakly compactness. Finally, we consider the semi-inner products (Lumer-Giles) and semi-inner(usual).

Voltage instability is one of the basic problems in power systems that have always been considered. This instability occurs when a disturbance, increased usage, or change in system condition causes a progressive and uncontrollable drop in voltage. In order to achieve voltage stability, tools such as s In the generator, one of the reliable methods is to use the automatic voltage regulator (AVR) system. In fact, each AVR needs to maintain the reactive power of the synchronous generator at the demand level, stable voltage and frequency of the power sources. hunt capacitors and power electronic equipment, etc., were introduced. In this research, the effectiveness of the control scheme based on proportional-integral fractional order (FOPI) controller for automatic voltage regulation (AVR) system is presented. In this study, a 2DOF FOPI controller is proposed that deviates from the standard integer order to show the superiority of the additional degrees of freedom in the network and controller structure. To improve the performance of AVR, an particle swarm optimization algorithm (PSO) is proposed to adjust the parameters. This method achieves significant robustness to system parameter perturbations and perturbation discontinuities. In the staircase response analysis, it is observed that the settling time and overshoot of the system can be reduced compared to the recently published designs. Various analyzes have shown that the proposed controller is superior to the PI controller in terms of robustness.

Very recently S. Mondal et al. [Best proximity point theorem in higher dimensions with an application, Int. J. Nonlinear Anal. Appl. (2022) ] introduced the concept of Fn-contractions (n ≥ 2) and investigated the existence and uniqueness of an n-tuple best proximity point for this class of mappings in the framework of metric spaces. In this paper we prove that their main result is a straightforward consequence of the Banach contraction principle.

The purpose of this study was to present a model of factors affecting the selection of financing strategy for the petrochemical industry supply chain in petrochemical companies located in the Mahshahr Port Petrochemical Special Economic Zone. One of the methods used to acquire group knowledge is the fuzzy Delphi technique, which is a structured process for predicting and assisting in decision-making during survey rounds, gathering information, and finally, group consensus. In this technique, a questionnaire containing the extracted criteria is first sent to each member of the expert group separately and confidentially. Members are then asked to assign a score of 1 to 10 to each criterion. In the second step, the questionnaires will be collected and the criteria with an average score of less than 7 will be removed. The remaining criteria are sent in the form of a new questionnaire. These steps continue until you reach a set of criteria that scores above seven. The results showed that the components obtained from the study include Rial Internal Finance, Currency Internal Finance, LC, Combined Internal Finance (Currency-Rial), Participation Bonds, Usance, International Loan, Foreign Direct Investment, Bank Loan, Public-Private Partnership (PPP), Off-Balance Financing, Government Grants, Corporate Transparency, Restrictions on Financing, Capital Structure, Collateral assets, Firm Value, Firm Size, Managers’ attitudes, Financing Policies, Funding Source Criteria, Political Factors, Religious and Legal Restrictions.

Let G = (V,E) be a graph without isolated vertices. A subset D ⊆ V is a triple effect dominating set if every vertex in D dominates exactly three vertices of V −D. The triple effect domination number γte(G) is the minimum cardinality of overall triple effect dominating sets in G. In this paper, the triple effect domination number γte(G) is studied to be changing or not after adding or deleting edge or deleting vertex. Some conditions are put on the graph to be affected or not with several results and examples. Then, the triple effect domination and its inverse are applied on several graphs obtained from complement, join and corona operations.

Portfolio optimization in finance and economy is more than a mathematical model for improving performance under uncertainty constraints. Practically all organizations seek to create value by selecting the best portfolios that consume the least resources and obtaining high expected portfolio returns and controlling risk. In the context of the portfolio selection problem, severe uncertainties would significantly affect the technical and financial aspects. This paper presents a bi-level information gap decision theory (IGDT) risk averse decision-making tool for robust portfolio optimization problems to help organizations or investors for managing their portfolios and finding the best transactions with severe uncertainty variables (price and return) to process the forecast data generated by the learning prediction method in order to construct the optimal stock portfolios that a target profit is guaranteed. The heuristic solution approach is constructed and the augmented ε-constraint method is used to solve the proposed bi-level IGDT robust optimization problem. The effectiveness and efficiency of the proposed model are evaluated on the Iranian Stock Market. The results show the efficiency and effectiveness of the proposed model for selecting the best stocks. The Mont Carlo simulation method is applied for the validation of results.

The slowly oscillating functions have been used by I. V. Protasov to study of the algebraic structure of the Stone- ˇ Cesh compactification. M. Filali and P. Salmi developed the concept of slowly oscillating functions to arbitrary locally compact topological groups. In this paper, we study the structure of Lmc-compactification of a semitopological semigroup by the slowly oscillating functions. In fact, we develop the concept of slowly oscillating functions to semitopological semigroups.

This paper deals with the estimation of the synchronization of two identical systems such as T chaotic systems and Chen chaotic systems. In addition to that, it describes the estimation of the synchronization of one more nonidentical system which combines Chen and T systems. The sliding mode control method has been implemented to synchronize two identical systems such as T systems and Chen systems, also the method can be used to synchronize the non-identical chaotic systems, viz. Chen and T systems. The numerical simulation part has been carried out via MATLAB software which strengthens our derived results.