广义和S - gerty收缩的最佳邻近点

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-03-25 DOI:10.1155/2021/6659358

Abdelhafid Bassou, T. Sabar, M. Aamri

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引用次数: 0

摘要

本文引入了一类新的映射，称为S-Geraphty压缩，并为这类映射的最佳邻近点的存在性和唯一性提供了充分条件。它也给出了广义收缩的最佳接近点结果。我们的结果推广和推广了文献中的一些定理。

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 Point for Generalized and S -Geraphty Contractions

This paper introduces a new class of mappings called S -Geraphty-contractions and provides sufficient conditions for the existence and uniqueness of a best proximity point for such mappings. It also presents the best proximity point result for generalized contractions as well. Our results extend and generalize some theorems in the literature.

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.