S-度量空间中广义（ψ-φ）-弱压缩下的公共不动点定理及其应用

Q3 Mathematics

Nonlinear Functional Analysis and Applications Pub Date : 2021-02-23 DOI:10.22771/NFAA.2021.26.01.02

G. Saluja, J. K. Kim, W. H. Lim

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引用次数: 3

摘要

摘要本文的目的是在完备S-度量空间中建立广义（ψ−φ）-弱收缩下的公共不动点定理，并用一些例子支持我们的结果。应用我们的结果，我们得到了一些积分型的不动点定理。我们的结果扩展了Doric[5]的定理2.1和2.2，Dutta和Choudhury[6]的定理2.1，以及现有文献中的许多其他结果。

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COMMON FIXED POINT THEOREMS UNDER GENERALIZED (ψ-φ)-WEAK CONTRACTIONS IN S-METRIC SPACES WITH APPLICATIONS

Abstract. The aim of this paper is to establish common fixed point theorems under generalized ( ψ − φ )-weak contractions in the setting of complete S -metric spaces and we support our result by some examples. Also an application of our results, we obtain some fixed point theorems of integral type. Our results extend Theorem 2.1 and 2.2 of Doric [5], Theorem 2.1 of Dutta and Choudhury [6], and many other several results from 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.