Imdad, M.; Ali, B.; Alfaqih, W.M.; Sessa, S.; Aldurayhim, A. New Fixed Point Results via (θ,ψ)R-Weak Contractions with an Application. Symmetry2020, 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.
Imdad, M.; Ali, B.; Alfaqih, W.M.; Sessa, S.; Aldurayhim, A. New Fixed Point Results via (θ,ψ)R-Weak Contractions with an Application. Symmetry2020, 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.
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.
Keywords
fixed point; q-contraction; binary relation; integral equation
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
