Study on New Fixed Point Theorems for Modified Generalized Rational \(\alpha\)-\(\psi\)- Geraghty Contraction Type Maps

Authors

  • K. Anthony Singh Department of Mathematics, D.M. College of Science, Dhanamanjuri University, Imphal-795001, India.

DOI:

https://doi.org/10.9734/bpi/ramrcs/v10/1962A

Keywords:

Metric space, fixed point, \(\alpha\) -orbital admissible mapping with respect to \(\eta\), triangular \(\alpha\) -orbital admissible mapping with respect to \(\eta\), modified generalized rational \(\alpha\)-\(\psi\)-Geraghty contraction type map

Abstract

In this chapter, we begin by introducing the notion of modified generalized rational \(\alpha\)-\(\psi\)- Geraghty Contraction Type maps in the context of metric space and develop some fixed point theorems for such maps. The multiple Geraghty contraction type maps introduced by many authors over the years inspired this new contraction map. Examples are also provided to demonstrate the reliability of our findings.  

Published

2022-03-22

How to Cite

K. Anthony Singh. (2022). Study on New Fixed Point Theorems for Modified Generalized Rational \(\alpha\)-\(\psi\)- Geraghty Contraction Type Maps. Recent Advances in Mathematical Research and Computer Science Vol. 10, 41–51. https://doi.org/10.9734/bpi/ramrcs/v10/1962A

Issue

Recent Advances in Mathematical Research and Computer Science Vol. 10

Section

Chapters