NEW GENERALIZED $\alpha-\psi-$GERAGHTY CONTRACTION TYPE MAPS AND FIXED POINTS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 96

Volume : 16 , Issue : 2
DOI:
Author :
K. Anthony Singh (Department of Mathematics, D. M. College of Science, Imphal - 795001, INDIA)
M. R. Singh (Department of Mathematics, Manipur University, Canchipur, Imphal - 795003, INDIA)
Th. Chhatrajit Singh (Department of Mathematics, Manipur Technical University, Imphal - 795004, INDIA)

Abstract

In this paper, we introduce the notion of new generalized α-ψ-Geraghty contraction type maps in the context of metric space and establish some fixed point theorems for such maps. This new contraction map is motivated by the different Geraghty contraction type maps introduced by many authors over the years. An example is also given to illustrate our result.

Keywords and Phrases

Metric space, fixed point, generalized ?-Geraghty contraction type map, generalized ?-?-Geraghty contraction type map, extended generalized ?-?-Geraghty contraction type map, new generalized ?-?-Geraghty contraction type map.

A.M.S. subject classification

47H10, 54H25.

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