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GENERALISED COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS VIA IMPLICIT CONTRACTIVE RELATION IN QUASI-PARTIAL S b -METRIC SPACE WITH SOME APPLICATIONS

Lucas Wangwe ; Santosh Kumar

Honam mathematical journal, 2023, Vol.45 (1), p.1-24 [Periódico revisado por pares]

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Título:
GENERALISED COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS VIA IMPLICIT CONTRACTIVE RELATION IN QUASI-PARTIAL S b -METRIC SPACE WITH SOME APPLICATIONS
Autor: Lucas Wangwe ; Santosh Kumar
Assuntos: an integral equation ; common fixed point ; fractional differential equation ; implicit relation ; quasi-partial S b<; / sub>; -metric space ; weakly compatible mapping
É parte de: Honam mathematical journal, 2023, Vol.45 (1), p.1-24
Notas: THE HONAM MATHEMATICAL SOCIETY KWANGJU
KISTI1.1003/JNL.JAKO202314355653017
Descrição: In the present paper, we prove common fixed point theorems for a pair of weakly compatible mappings under implicit contractive relation in quasi-partial S b -metric spaces. We also provide an illustrative example to support our results. Furthermore, we will use the results obtained for application to two boundary value problems for the second-order differential equation. Also, we prove a common solution for the nonlinear fractional differential equation.
Editor: 호남수학회
Idioma: Coreano

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