关于$b$-度量空间中$F$-缩约的一些新论文注记

IF 1.1 Q1 MATHEMATICS

Constructive Mathematical Analysis Pub Date : 2018-11-07 DOI:10.33205/cma.468813

Z. Kadelburg, S. Radenović

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引用次数: 44

摘要

在最近的几篇论文中，为了得到$b$度量空间中单值和多值映射的不动点结果，尝试应用Wardowski的$F$-压缩方法。在本文中，证明了在大多数情况下，对各自映射施加的条件太强，结果可以直接得到，即不使用辅助函数F的大部分性质。

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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Notes on Some Recent Papers Concerning $F$-Contractions in $b$-Metric Spaces

In several recent papers, attempts have been made to apply Wardowski's method of $F$-contractions in order to obtain fixed point results for single and multivalued mappings in $b$-metric spaces. In this article, it is shown that in most cases the conditions imposed on respective mappings are too strong and that the results can be obtained directly, i.e., without using most of the properties of auxiliary function $F$.

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来源期刊

Constructive Mathematical Analysis Mathematics-Analysis

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6 weeks