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