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

Gunaseelan Mani; Gopinath Janardhanan; Sabri T.M. Thabet; Imed Kedim; Miguel Vivas-Cortez

doi:10.28924/2291-8639-23-2025-52

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

Gunaseelan Mani
, Gopinath Janardhanan
, Sabri T.M. Thabet
, Imed Kedim
, Miguel Vivas-Cortez

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	52
Journal	International Journal of Analysis and Applications
Volume	23
DOIs	https://doi.org/10.28924/2291-8639-23-2025-52
State	Published - 2025

Keywords

bipolar metric space
bipolar orthogonal metric space
contravariant map
covariant map
fixed point
orthogonal preserving

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10.28924/2291-8639-23-2025-52

Cite this

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

abstract = "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.",

keywords = "bipolar metric space, bipolar orthogonal metric space, contravariant map, covariant map, fixed point, orthogonal preserving",

author = "Gunaseelan Mani and Gopinath Janardhanan and Thabet, \{Sabri T.M.\} and Imed Kedim and Miguel Vivas-Cortez",

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AU - Mani, Gunaseelan

AU - Janardhanan, Gopinath

AU - Thabet, Sabri T.M.

AU - Kedim, Imed

AU - Vivas-Cortez, Miguel

PY - 2025

Y1 - 2025

N2 - 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.

AB - 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.

KW - bipolar metric space

KW - bipolar orthogonal metric space

KW - contravariant map

KW - covariant map

KW - fixed point

KW - orthogonal preserving

UR - https://www.scopus.com/pages/publications/86000490633

U2 - 10.28924/2291-8639-23-2025-52

DO - 10.28924/2291-8639-23-2025-52

M3 - Article

AN - SCOPUS:86000490633

SN - 2291-8639

VL - 23

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 52

ER -

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

Abstract

Keywords

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