Abstract

In this paper, we define Suzuki type $Z-$contraction with a rational expression via $\Psi-$simulation function and prove the existence and uniqueness of common fixed points of two pairs of selfmaps by using reciprocal continuity and weakly compatible property. An example is provided in support of our result.

Keywords and Phrases

Common fixed points, simulation function, compatible maps, weakly compatible maps, reciprocal continuity.

A.M.S. subject classification

47H10, 54H25.

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