(α - ψ) Meir-Keeler Contractions in Bipolar Metric Spaces

被引：1

作者：

Kumar, Manoj ^{[1
]}

Kumar, Pankaj ^{[1
]}

Ramaswamy, Rajagopalan ^{[2
]}

Abdelnaby, Ola A. Ashour ^{[2
,3
]}

Elsonbaty, Amr ^{[4
]}

Radenovic, Stojan ^{[5
]}

机构：

[1] Baba Mastnath Univ, Dept Math, Rohtak 124021, Haryana, India

[2] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia

[3] Cairo Univ, Dept Math, Cairo 12613, Egypt

[4] Mansoura Univ, Math & Engn Phys Dept, Mansoura 35516, Egypt

[5] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11120, Serbia

来源：

MATHEMATICS | 2023年 / 11卷 / 06期

关键词：

fixed point; (alpha; psi) Meir-Keeler contractive mappings; covariant and contravariant mappings; bipolar metric space; FIXED-POINT THEOREMS;

D O I：

10.3390/math11061310

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the new notion of contravariant (a-?) Meir-Keeler contractive mappings by defining a-orbital admissible mappings and covariant Meir-Keeler contraction in bipolar metric spaces. We prove fixed point theorems for these contractions and also provide some corollaries of main results. An example is also be given in support of our main result. In the end, we also solve an integral equation using our result.

引用

页数：14

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