Existence and Uniqueness of a Common Best Proximity Point on Fuzzy Metric Space

被引：1

作者：

Pragadeeswarar, V. ^{[1
]}

Gopi, R. ^{[1
]}

机构：

[1] Amrita Vishwa Vidyapeetham, Dept Math, Amrita Sch Engn, Coimbatore, Tamil Nadu, India

来源：

FUZZY INFORMATION AND ENGINEERING | 2019年 / 11卷 / 01期

关键词：

Best proximity points; fixed points; weakly compatible mappings; fuzzy metric space; THEOREMS;

D O I：

10.1080/16168658.2020.1746484

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, first we introduce the notion of proximally weakly compatible mappings and we extend the CLRg property (CLRg-Common limit in the range of g) to the case of non-self mappings. Then we prove the existence of proximally coincident point for this new class of mappings with the assumption of proximal CLRg property in fuzzy metric space. Further, we establish new common best proximity point result for proximally weakly compatible mappings in the setting of fuzzy metric space.

引用

页码：54 / 63

页数：10

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