On φ-contractions and fixed point results in fuzzy metric spaces

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2023-10-02 DOI:10.4995/agt.2023.17130

Morteza Saheli, Seyed Ali Mohammad Mohsenialhosseini, Hadi Saeidi Goraghani

引用次数: 0

Abstract

In this paper, φ-contractions are defined and then, some new fixed point theorems are established for certain nonlinear mappings associated with one-dimensional (c)-comparison functions in fuzzy metric spaces. Next, generalized φ-contractions are defined by using five-dimensional (c)-comparison functions, and the existence of fixed points for nonlinear maps on fuzzy metric spaces is studied. Moreover, some examples are given to illustrate our results.

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模糊度量空间中的φ-压缩和不动点结果

本文首先定义了φ-压缩，然后给出了模糊度量空间中与一维(c)-比较函数相关的非线性映射的一些新的不动点定理。其次，利用五维(c)比较函数定义广义φ-收缩，并研究模糊度量空间上非线性映射不动点的存在性。此外，还给出了一些例子来说明我们的结果。

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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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.