BEST PROXIMITY POINTS FOR NEW TYPE OF SET-VALUED MAPPINGS

被引：0

作者：

Sarnmeta, Panitarn ^{[1
]}

Suantai, Suthep ^{[2
]}

机构：

[1] Chiang Mai Univ, PhD Degree Program Math, Fac Sci, Chiang Mai 50200, Thailand

[2] Chiang Mai Univ, Ctr Excellence Math & Appl Math, Dept Math, Fac Sci, Chiang Mai 50200, Thailand

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2019年 / 20卷 / 01期

关键词：

proximal multi-valued contraction; best proximity point; THEOREMS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The concept of a proximal contraction for single-valued mapping, established by Basha [3], was extended in many directions. However, there are not any extensions concerning set-valued mappings. So, in this paper, we introduce a new concept of a proximal contraction for non-self set-valued mapping and prove the existence of a best proximity point for such mappings under certain conditions. We also give an example to support our main results.

引用

页码：165 / 171

页数：7

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