FIXED POINT THEOREMS FOR EXTENDED GENERALIZED $\alpha-\psi$-GERAGHTY CONTRACTION TYPE MAPS IN METRIC SPACE

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

Abstract

In this paper, we introduce the notion of extended generalized α − ψ−Geraghty contraction type maps in the context of metric space and establish some fixed point theorems for such maps. Our results extend the fixed point results of Popescu [Fixed Point Theory and Applications 2014, 2014:190] in complete metric space. An example is also given to illustrate our result.

Keywords and Phrases

Metric space, fixed point, triangular ??orbital admissible mapping, generalized ??Geraghty contraction type map, extended generalized ? ? ??Geraghty contraction type map.

A.M.S. subject classification

47H10, 54H25.

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