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

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

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

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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

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.

Idioma original	Inglés
Número de artículo	52
Páginas (desde-hasta)	23-52
Número de páginas	21
Publicación	International Journal of Analysis and Applications
Volumen	23
DOI	https://doi.org/10.28924/2291-8639-23-2025-52
Estado	Publicada - 1 mar. 2025

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Publisher Copyright:
© 2025 the author(s).

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10.28924/2291-8639-23-2025-52

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LA DERIVADA FRACCIONAL GENERALIZADA, NUEVOS RESULTADOS Y APLICACIONES EN DESIGUALDADES INTEGRALES
Vivas Cortez, M. J. (Director), Jaramillo Villagómez, J. E. (Investigador principal), VELASCO VELASCO, J. (Investigador Externo), Thabet, S. T. M. (Investigador Externo) & BRAVO QUEZADA, W. G. (Investigador principal)
10/08/24 → 11/08/26
Proyecto: Investigación

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

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Common Fixed Point Techniques in Bipolar Orthogonal Metric Space With Applications to Economic Problem and Integral Equation. / Vivas-Cortez, Miguel; Thabet, Sabri T.M.; Mani, Gunaseelan et al.
En: International Journal of Analysis and Applications, Vol. 23, 52, 01.03.2025, p. 23-52.

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

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T1 - Common Fixed Point Techniques in Bipolar Orthogonal Metric Space With Applications to Economic Problem and Integral Equation

AU - Vivas-Cortez, Miguel

AU - Thabet, Sabri T.M.

AU - Mani, Gunaseelan

AU - Janardhanan, Gopinath

AU - Kedim, Imed

PY - 2025/3/1

Y1 - 2025/3/1

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

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

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AN - SCOPUS:86000490633

SN - 2291-8639

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JO - International Journal of Analysis and Applications

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ER -

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

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Nota bibliográfica

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LA DERIVADA FRACCIONAL GENERALIZADA, NUEVOS RESULTADOS Y APLICACIONES EN DESIGUALDADES INTEGRALES

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