FIXED POINT THEOREMS FOR THE MODIFIED SIMULATION FUNCTION AND APPLICATIONS TO FRACTIONAL ECONOMICS SYSTEMS

Q3 Mathematics

Nonlinear Functional Analysis and Applications Pub Date : 2021-02-23 DOI:10.22771/NFAA.2021.26.01.10

H. Nashine, R. Ibrahim, Y. Cho, J. Kim

引用次数: 0

Abstract

In this paper, first, we prove some common fixed point theorems for the generalized contraction condition under newly defined modified simulation function which generalize and include many results in the literature. Second, we give two numerical examples with graphical representations for verifying the proposed results. Third, we discuss and study a set of common fixed point theorems for two pairs (finite families) of self-mappings. Fi- nally, we give some applications of our results in discrete and functional fractional economic systems.

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修正模拟函数的不动点定理及其在分数经济系统中的应用

本文首先证明了在新定义的修正模拟函数下广义收缩条件的一些常见不动点定理，这些定理推广并包含了文献中的许多结果。其次，我们给出了两个带有图形表示的数值例子来验证所提出的结果。第三，我们讨论和研究了两对（有限族）自映射的一组公共不动点定理。最后，我们给出了我们的结果在离散和函数分式经济系统中的一些应用。

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来源期刊

Nonlinear Functional Analysis and Applications Mathematics-Analysis

CiteScore

1.90

自引率

0.00%

发文量

期刊介绍： The international mathematical journal NFAA will publish carefully selected original research papers on nonlinear functional analysis and applications, that is, ordinary differential equations, all kinds of partial differential equations, functional differential equations, integrodifferential equations, control theory, approximation theory, optimal control, optimization theory, numerical analysis, variational inequality, asymptotic behavior, fixed point theory, dynamic systems and complementarity problems. Papers for publication will be communicated and recommended by the members of the Editorial Board.