Best proximity point theorems for weak contraction mapping in b-generalized pseudodistances

被引：0

作者：

Sanhan S. ^{[1
]}

Mongkolkeha C. ^{[1
]}

机构：

[1] Department of Mathematics, Statistics and Computer Science, Faculty of Liberal Arts and Science, Kasetsart University Kamphaeng-Saen Campus, Kamphaeng Saen, 73140, Nakhon Pathom

来源：

Afrika Matematika | 2018年 / 29卷 / 7-8期

关键词：

b-generalized pseudodistances; b-metric spaces; Best proximity points; Weak contraction;

D O I：

10.1007/s13370-018-0599-8

中图分类号：

学科分类号：

摘要：

In this paper, we consider the concept of b-generalized pseudodistances with the concept of weak contraction for non-self mapping by provide the condition guarantee the existence of best proximity point and an algorithm for determining such an optimal approximate solution to the problem of globally minimizing the error inf { d(x, y) : x∈ A, y∈ B} where A and B are nonempty close subsets of b-metric spaces X. Also, we give some example to illustrate our main result. © 2018, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.

引用

页码：1039 / 1048

页数：9

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