Article overview
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 spacefixed pointgeneralized ?-Geraghty contraction type mapgeneralized ?-?-Geraghty contraction type mapextended generalized ?-?-Geraghty contraction type mapnew generalized ?-?-Geraghty contraction type map.
AMS Subject Classification
47H10, 54H25.
Reference information
How to Cite
K. Anthony Singh, M. R. Singh, Th. Chhatrajit Singh (2020). NEW GENERALIZED $\alpha-\psi-$GERAGHTY CONTRACTION TYPE MAPS AND FIXED POINTS. South East Asian Journal of Mathematics and Mathematical Sciences, 16(2), 01-12.