b-度量空间中广义近端弱压缩映射的公共最佳邻近点定理

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2022-08-24 DOI:10.1155/2022/5982401

Yohannes Gebru, Yitages Negede

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引用次数: 0

摘要

本文证明了b-度量空间中非自映射情况下弱压缩映射的公共最佳邻近点定理;引入了b-度量空间中广义近端弱压缩映射的概念，证明了这些映射在完全b-度量空间中的公共最佳邻近点的存在唯一性。我们还包括了一些支持性的例子，我们使用的参考文献使我们的发现更加一般化。

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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Common Best Proximity Point Theorems for Generalized Proximal Weakly Contractive Mappings in b-Metric Space

In this paper, common best proximity point theorems for weakly contractive mapping in b-metric spaces in the cases of nonself-mappings are proved; we introduced the notion of generalized proximal weakly contractive mappings in b-metric spaces and proved the existence and uniqueness of common best proximity point for these mappings in complete b-metric spaces. We also included some supporting examples that our finding is more generalized with the references we used.

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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.