- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 5 Issue: 4
- Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized $(F,\xi,\eta)$-contraction i...
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 : 10 | Download : 2
Publication Date : 2021-12-30
Article Type : Research
Abstract :In the present paper, we proved a common fixed-point theorem for two-hybrid pair of non-self mappings satisfying a generalized $(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.