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Research Article

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

K
K. Anthony Singh Department of Mathematics, D.M. College of Science, Dhanamanjuri University, Imphal-795001, INDIA
Volume 15, Issue 3 Pages 159-170 December 31, 2019 223 downloads
Article overview

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 spacefixed pointtriangular ??orbital admissible mappinggeneralized ??Geraghty contraction type mapextended generalized ? ? ??Geraghty contraction type map.

AMS Subject Classification

47H10, 54H25.

Reference information

How to Cite

K. Anthony Singh (2019). FIXED POINT THEOREMS FOR EXTENDED GENERALIZED $\alpha-\psi$-GERAGHTY CONTRACTION TYPE MAPS IN METRIC SPACE. South East Asian Journal of Mathematics and Mathematical Sciences, 15(3), 159-170.
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