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EMPLOYING α-ψ-CONTRACTION TO PROVE COUPLED COINCIDENCE POINT THEOREM FOR GENERALIZED COMPATIBLE PAIR OF MAPPINGS ON PARTIALLY ORDERED METRIC SPACES

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초록

We introduce some new type of admissible mappings and prove a cou- pled coincidence point theorem by using newly de ned concepts for generalized compatible pair of mappings satisfying α-ψ contraction on partially ordered met- ric spaces. We also prove the uniqueness of a coupled xed point for such mappings in this setup. Furthermore, we give an example and an application to integral equa- tions to demonstrate the applicability of the obtained results. Our results generalize some recent results in the literature.

Abstract

We introduce some new type of admissible mappings and prove a cou- pled coincidence point theorem by using newly de ned concepts for generalized compatible pair of mappings satisfying α-ψ contraction on partially ordered met- ric spaces. We also prove the uniqueness of a coupled xed point for such mappings in this setup. Furthermore, we give an example and an application to integral equa- tions to demonstrate the applicability of the obtained results. Our results generalize some recent results in the literature.

참고문헌 (20)

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