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

Year 2021, , 531 - 550, 30.12.2021

Lucas Wangwe , Santosh Kumar

https://doi.org/10.31197/atnaa.934778

Cited By: 3

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.

Supporting Institution

None

Project Number

None

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