Coupled Coincidence and Coupled Common Fixed Points of (ψ, ϕ) Contraction Type T-coupling in Metric Spaces

Author(s):

Fuad Abdulkerim , Kidane Koyas* , Solomon Gebregiorgis

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we define (ψ, ϕ)-Contraction Type T-coupling, establish a theorem satisfying such contraction condition, and prove the existence and uniqueness of coupled coincidence and coupled common fixed points in metric space. Here ψ and ϕ are two altering distance functions and T is a SCC-Map for metric spaces. Our results extend and generalize several related results in the existing literature. We also provided two examples to verify our main results.

Keywords:

Coupled Coincidence Point , Coupled Common Fixed Point , (Ψ , Φ)-Contraction Type T-Coupling , SCC-Map

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:19 Issue: 2, Nov 2024
Pages:
61 to 75
https://www.magiran.com/p2761609