Abstract

In this paper, some common fixed point theorems for four semicompatible self-maps satisfying a rational type contraction in a recently generalization of the metric space namely, complex valued generalized metric space have been proved. The presented results generalize and extend the earlier results of Abbas et al. [2] and others.

Keywords and Phrases

Common fixed points, partially ordered set, complex-valued metric spaces, rational inequality, semi-compatible, weakly compatible, weak annihilator, dominating map

A.M.S. subject classification

Primary 54H25, Secondary 47H10.

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