Completeness of b-Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions

被引：6

作者：

Khan, Arshad Ali ^{[1
]}

Ali, Basit ^{[1
]}

机构：

[1] Univ Management & Technol, Sch Sci, Dept Math, C II, Lahore 54770, Pakistan

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 11期

关键词：

completeness; quasi-contraction; best proximity points; b-metric; non-self mappings; FIXED-POINT; THEOREMS; EXISTENCE; MAPPINGS;

D O I：

10.3390/sym13112206

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The aims of this article are twofold. One is to prove some results regarding the existence of best proximity points of multivalued non-self quasi-contractions of b-metric spaces (which are symmetric spaces) and the other is to obtain a characterization of completeness of b-metric spaces via the existence of best proximity points of non-self quasi-contractions. Further, we pose some questions related to the findings in the paper. An example is provided to illustrate the main result. The results obtained herein improve some well known results in the literature.

引用

页数：18

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