Article overview
Abstract
In this paper, we introduce the notion of modified generalized $\alpha-\psi-$Geraghty contraction type maps in the context of metric space and establish some fixed point theorems for such maps. Our results provide the fixed point results of K. Anthony Singh [8] and Popescu [16] as direct corollaries. Some examples are also given to illustrate the validity of our results.
Keywords and Phrases
Metric spacefixed point$\alpha-$orbital admissible mapping with respect to $\eta$triangular $\alpha-$orbital admissible mapping with respect to $\eta$generalized $\alpha-$Geraghty contraction type mapextended generalized $\alpha-\psi-$Geraghty contraction type mapmodified generalized $\alpha-\psi-$Geraghty contraction type map.
AMS Subject Classification
47H10, 54H25.
Reference information
How to Cite
K. Anthony Singh, M. R. Singh (2021). MODIFIED GENERALIZED $\alpha-\psi-$GERAGHTY CONTRACTION TYPE MAPS IN METRIC SPACE AND RELATED FIXED POINTS. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 409-424.