Common Fixed Point Techniques in Bipolar Orthogonal Metric Space With Applications to Economic Problem and Integral Equation

被引：0

作者：

Mani, Gunaseelan ^{[1
]}

Janardhanan, Gopinath ^{[1
]}

Thabet, Sabri T. M. ^{[1
,2
,3
]}

Kedim, Imed ^{[4
]}

Vivas-Cortez, Miguel ^{[5
]}

机构：

[1] Saveetha Univ, Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamil Nadu, India

[2] Univ Lahej, Radfan Univ Coll, Dept Math, Lahej, Yemen

[3] Korea Univ, Coll Sci, Dept Math, 145 Anam Ro, Seoul 02814, South Korea

[4] Prince Sattam bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia

[5] Pontifical Catholic Univ Ecuador, Sch Phys Sci & Math, Fac Exact & Nat Sci, Ave 12 Octubre 1076 & Roca,Apartado Postal 17-01-2, Sede Quito, Ecuador

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2025年 / 23卷

关键词：

bipolar metric space; bipolar orthogonal metric space; covariant map; contravariant map; orthogonal preserving; fixed point; WELL-POSEDNESS; STABILITY;

D O I：

10.28924/2291-8639-23-2025-52

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article proves a new common fixed point theorems in bipolar orthogonal metric space in the context of the Meir-Keeler contraction type. We have given some suitable examples based on our obtain theorems. Finally, we provide an application to the integral equation and an application to the production-consumption equilibrium problem.

引用

页数：21

共 32 条

[1] Bipolar b-Metric Spaces in Graph Setting and Related Fixed Points [J].