BEST PROXIMITY POINT THEOREMS FOR SINGLE- AND SET-VALUED NON-SELF MAPPINGS

被引：8

作者：

Gabeleh, Moosa ^{[1
]}

机构：

[1] Ayatollah Boroujerdi Univ, Dept Math, Boroujerd, Iran

来源：

ACTA MATHEMATICA SCIENTIA | 2014年 / 34卷 / 05期

关键词：

best proximity point; fixed point; P-property; RELATIVELY NONEXPANSIVE-MAPPINGS; CONTRACTION-MAPPINGS; PAIR THEOREMS; METRIC-SPACES; EXISTENCE; CONVERGENCE;

D O I：

10.1016/S0252-9602(14)60112-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of best proximity points for single-valued non-self mappings. Also, we prove a best proximity point theorem for set-valued non-self mappings in metric spaces with an appropriate geometric property. Examples are given to support the usability of our results.

引用

页码：1661 / 1669

页数：9

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