有序度量空间中广义循环弱（F，ψ，ξ）-收缩的最佳邻近点

Q3 Mathematics Nonlinear Functional Analysis and Applications Pub Date : 2020-03-01 DOI:10.22771/NFAA.2020.25.01.05

A. H. Ansari, J. Nantadilok, M. Khan

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引用次数: 1

摘要

．本文的目的是在[6]中提出的广义弱φ -收缩的基础上引入一个新的广义循环弱(F， ψ， φ)-收缩，其中F是C类函数。并且在一定条件下，得到了该循环映射的一个相应的最佳邻近点定理。我们得到的结果改进和推广了之前已知的关于[6]的结果，以及现有文献中关于循环收缩的其他结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Best proximity points of generalized cyclic weak (F, ψ, ϕ)-contractions in ordered metric spaces

. The purpose of this paper is to introduce a new generalized cyclic weak ( F, ψ, ϕ )-contraction based on the generalized weak ϕ -contraction which is proposed in [6], where F is a C -class function. Moreover, we obtain a corresponding best proximity point theorem for this cyclic mapping under certain condition. Our results obtained in this paper improve and extend previous known results in [6], as well as other results for cyclic contractions in the existing literature.

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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.