New Fixed Point Results for Generalized Θ-Contraction in Extended

Authors : Sumaiya Tasneem Z, Kalpana G, Thabet Abdeljawad

Pages : 808-819

Doi:10.35378/gujs.712142

View : 15 | Download : 9

Publication Date : 2021-09-01

Article Type : Research

Abstract :Through this work, we analyze the structure of extended Gb-metric spaces and show a fundamental lemma for sequence convergence within the same metric. We also propose the new notion of generalized geraghty type Θ-berinde contraction mappings and demonstrate several fixed point theorems for these mappingsin the sense of extended Gb-metric spaces. Eventually, the existence result for solutions of a Fredholm integral equation is furnished to show the efficacy of the technique developed. 
Keywords : Extended Gb-metric spaces, Θ-contraction, Fixed point