On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces. (9th March 2021)

• Record Type: Journal Article
• Authors: Priyobarta, N.; Khomdram, Bulbul; Rohen, Yumnam; Saleem, Naeem
• Other Names: Tsionas Efthymios G. Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-03-09
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/6661045
• Languages: English
• ISSNs: 2314-4629

Abstract

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.