豪斯多夫拓扑空间中的常见最佳临近点定理

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-07-09 DOI:10.1186/s13660-024-03168-4

A. Sreelakshmi Unni, V. Pragadeeswarar

引用次数: 0

摘要

在本文中，我们获得了豪斯多夫拓扑空间中非自映射的共同最佳邻近点定理。此外，我们的结果扩展了杰拉尔德-F-容克（Gerald F. Jungck）的结果，从而证明了柯克定理（J. London Math.1(1):107-111, 1969).

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 in Hausdorff topological spaces

In the present paper, we have obtained common best proximity point theorems of nonself maps in Hausdorff topological space. Further, our results extend the results due to Gerald F. Jungck, thereby proving a generalized version of Kirk’s theorem (J. London Math. 1(1):107–111, 1969).

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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.