Periodic and Fixed Points for Caristi-Type G-Contractions in Extended b-Gauge Spaces. (11th June 2021)

• Record Type: Journal Article
• Authors: Zikria, Nosheen; Samreen, Maria; Kamran, Tayyab; Yeşilkaya, Seher Sultan
• Other Names: Kumar Santosh Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-06-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/1865172
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we introduce extended b -gauge spaces and the extended family of generalized extended pseudo-b -distances. Moreover, we define the sequential completeness and construct the Caristi-type G -contractions in the framework of extended b -gauge spaces. Furthermore, we develop periodic and fixed point results in this new setting endowed with a graph. The obtained results of this paper not only generalize but also unify and improve the existing results in the corresponding literature.