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Research Article Open access CC BY 4.0

Common Fixed Point Theorems Satisfying Generalized (ψ,ϕ)- Weak Contraction in Metric Spaces

. Preeti, Manoj Kumar, . Poonam

Journal of Advances in Mathematics and Computer Science · pp. 1–23 · Published 21 Jan 2023

10.9734/jamcs/2023/v38i21742

Abstract

In this manuscript, we shall prove a common fixed point theorem for four weakly compatible self-maps \(\check{Z}\), \(\check{H}\), \(\check{Ω}\) and \(\check{K}\) on a metric space (M, \(d^{\circ}\)) satisfying the following generalized (\(\psi\), \(\phi\)- weak contraction: Also, we have proved common fixed point theorems for the above mentioned weakly compatible self-maps along with E.A. property and (CLR) property. An illustrative example is also provided to support our results.

Fixed point weakly compatible maps E.A. property (CLR) property generalized (ψ,ϕ)- weak contraction

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