DISCUSSION ON THE EXISTENCE OF BEST PROXIMITY POINTS IN METRIC SPACES

被引：0

作者：

Hong, Shihuang ^{[1
]}

Zhou, Jie ^{[1
]}

Chen, Ji ^{[1
]}

Hou, Haiyang ^{[1
]}

Wang, Li ^{[2
]}

机构：

[1] Hangzhou Dianzi Univ, Sci Coll, Hangzhou 310018, Peoples R China

[2] Hainan Univ, Math Dept, Haikou 570228, Hainan, Peoples R China

来源：

FIXED POINT THEORY | 2020年 / 21卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fixed points; best proximity points; generalized contractions; aproximal admissible mappings; THEOREMS; CONTRACTIONS;

D O I：

10.24193/fpt-ro.2020.1.14

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we modify the definition of some generalized proximal contractions and enumerate a list of equivalent conditions for various versions of generalized proximal contractions of non-self set-valued mappings on (ordered) metric spaces. By using the fixed point means, we establish the existence of best proximity points for mappings involving such contractions which extend and improve many existing related results, as well as, reveal that most of existing best proximity point theorems on metric spaces are in fact equivalent and immediate consequences of well-known fixed point theorems. Finally, some examples are given to support our results.

引用

页码：191 / 210

页数：20

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