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,
22 March 2022
,
Page 41-51
https://doi.org/10.9734/bpi/ramrcs/v10/1962A
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.
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
How to Cite
Singh, K. A. . (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