Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

New Fixed Point Results via (q,y)R-Weak Contractions with an Application

Version 1 : Received: 2 May 2020 / Approved: 4 May 2020 / Online: 4 May 2020 (02:54:58 CEST)

A peer-reviewed article of this Preprint also exists.

Imdad, M.; Ali, B.; Alfaqih, W.M.; Sessa, S.; Aldurayhim, A. New Fixed Point Results via (θ,ψ)R-Weak Contractions with an Application. Symmetry 2020, 12, 887. Imdad, M.; Ali, B.; Alfaqih, W.M.; Sessa, S.; Aldurayhim, A. New Fixed Point Results via (θ,ψ)R-Weak Contractions with an Application. Symmetry 2020, 12, 887.

Journal reference: Symmetry 2020, 12, 887
DOI: 10.3390/sym12060887

Abstract

In this paper, inspired by Jleli and Samet [journal of inequalities and applications 38 (2014) 2 1–8] we introduce two new classes of auxiliary functions and utilize the same to define (q, y)R-weak 3 contractions. Utilizing (q, y)R-weak contractions, we prove some fixed point theorems in the setting 4 of relational metric spaces. We employ some examples to substantiate the utility of our newly proved 5 results. Finally, we apply one of our newly proved results to ensure the existence and uniqueness of 6 solution of a Volterra-type integral equation.

Subject Areas

fixed point; q-contraction; binary relation; integral equation

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