On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces. (9th March 2021) - Priyobarta, N.
Abstract : In this paper, we discuss about various generalizations of α − admissible mappings. Furthermore, we extend the concept of α − admissible to generalize rational α − Geraghty contraction in G − metric space. With this new contraction mapping, we establish some fixed-point theorems in G − metric space. The obtained result is verified with an example.