完全偏序度量空间中模拟函数的ψ -耦合不动点定理及其应用

Q3 Mathematics

Nonlinear Functional Analysis and Applications Pub Date : 2021-05-23 DOI:10.22771/NFAA.2021.26.02.03

Anupam Das, B. Hazarika, H. Nashine, J. Kim

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引用次数: 0

摘要

在完全偏序度量空间中，利用模拟函数与其他控制函数耦合，给出了一些新的ψ -耦合不动点定理，其中包含了许多相关的结果。进一步利用该不动点定理证明了分数阶积分方程解的存在性，并结合实例加以说明。

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ψ−COUPLED FIXED POINT THEOREM VIA SIMULATION FUNCTIONS IN COMPLETE PARTIALLY ORDERED METRIC SPACE AND ITS APPLICATIONS

We proposed to give some new ψ − coupled fixed point theorems using simulation function coupled with other control functions in a complete partially ordered metric space which includes many related results. Further we prove the existence of solution of a fractional integral equation by using this fixed point theorem and explain it with the help of an example.

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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.