Common Fixed Point Theorem for Hybrid Pair of Mappings in a Generalized ( F , ξ , η ) -contraction in weak Partial b – Metric Spaces with an Application – Advances in the theory of nonlinear analysis and its applications

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Original research article

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

Author(s):

Lucas Wangwe, Santosh Kumar

Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Dar es Salaam, Tanzania.

Advances in the Theory of Nonlinear Analysis and its Applications 5 (4), 531-550.

Received: January 23, 2021

Accepted: June 30, 2021

Published: July 1, 2021

Abstract

In the present paper, we proved a common fixed-point theorem for two-hybrid pair of non-self mappings satisfying a generalized (F,ξ,η)- 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; Joint common limit range property; Non-self mappings.

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APA Style

Wangwe, L., & Kumar, S. (2021). 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. Advances in the Theory of Nonlinear Analysis and its Application , 5 (4), 531-550.