Best Proximity Points for Generalized (F, R)-proximal Contractions

被引：0

作者：

Rawat, Shivam ^{[1
,2
]}

Bartwal, Ayush ^{[3
]}

Dimri, R. C. ^{[1
]}

机构：

[1] HNB Garhwal Univ, Dept Math, Naur 246174, Uttarakhand, India

[2] Graphic Era Deemed Be Univ, Dept Math, Dehra Dun 248002, Uttarakhand, India

[3] Himwant Kavi Chandra Kunwar Bartwal Govt PG Coll, Dept Math, Nagnath Pokhari 246473, Uttarakhand, India

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2024年 / 42卷

关键词：

Best proximity point; generalized; (F; R )-proximal contractions; binary relation; THEOREMS;

D O I：

10.5269/bspm.66414

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the notion of generalized ( F, R ) -proximal non -self contractions and prove best proximity point theorems in complete metric spaces endowed with an arbitrary binary relation. An example is given to vindicate our claims. We also show that the edge preserving structure is a particular case of the binary relation R . Moreover, an application to variational inequality problem is given in order to demonstrate the efficacy of our results.

引用

页数：10

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