Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction in weak Partial $b$- Metric Spaces with an Application

Authors : Lucas WANGWE, Santosh KUMAR

Pages : 531-550

Doi:10.31197/atnaa.934778

View : 16 | Download : 5

Publication Date : 2021-12-30

Article Type : Research Paper

Abstract :In the present paper, we proved a common fixed-point theorem for two-hybrid pair of non-self mappings satisfying a generalized $insert ignore into journalissuearticles values(F, \xi, \eta); $- contraction condition under joint common limit range property in weak partial $b$- metric spaces. Our result is a generalization of many works available in metric space setting. An example and application to the integral equation are given to support the results proved in this paper.
Keywords : Common fixed point, weak partial b metric space, weak F contraction, joint common limit range property, non self mappings