集间距离的多值耦合逼近及其在一致凸Banach空间中的应用。

IF 1.6 3区数学 Q1 Mathematics Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-06-11 DOI:10.1186/s13660-018-1720-0

Binayak S Choudhury, Pranati Maity, Nikhilesh Metiya, Mihai Postolache

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引用次数: 1

摘要

在本文中，我们的目的是借助为此目的的多值耦合定义，以两种同时的方式迭代地确定两个集合之间的距离。我们定义了这种耦合的最佳接近点，以实现两组之间的距离。我们的主要定理是在度量空间中推导的。作为应用，我们利用一致凸Banach空间的几何性质得到了相应的结果。我们讨论两个例子。

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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Approximating distance between sets by multivalued coupling with application to uniformly convex Banach spaces.

In this paper, our aim is to ascertain the distance between two sets iteratively in two simultaneous ways with the help of a multivalued coupling define for this purpose. We define the best proximity points of such couplings that realize the distance between two sets. Our main theorem is deduced in metric spaces. As an application, we obtain the corresponding results in uniformly convex Banach spaces using the geometry of the space. We discuss two examples.

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

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.