Abstract
The main goal of the present paper is to obtain several fixed point theorems in the framework of F-quasi-metric spaces, which is an extension of F-metric spaces. Also, a Hausdorff δ-distance in these spaces is introduced, and a coincidence point theorem regarding this distance is proved. We also present some examples for the validity of the given results and consider an application to the Volterra-type integral equation.
Highlights
Introduction and PreliminariesOne of these improvements is the introduction of various spaces and is the proof of fixed point results in these spaces along with its applications in engineering science
Introduction and PreliminariesIn the last century, nonlinear functional analysis has experienced many advances
We present some examples for the validity of the given results and consider an application to the Volterra-type integral equation
Summary
One of these improvements is the introduction of various spaces and is the proof of fixed point results in these spaces along with its applications in engineering science One of these spaces is function weighted metric space introduced by Jleli and Samet [1]. Bhaskar and Lakshmikantham [6] defined the notion of coupled fixed point and presented several coupled fixed point propositions for a mixed monotone mapping in partially ordered matric spaces. They studied the existence and uniqueness of a solution to a periodic boundary value problem.
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