Hasanuzzaman, M.; Sessa, S.; Imdad, M.; Alfaqih, W.M. Fixed Point Results for a Selected Class of Multi-Valued Mappings under (θ,R)-Contractions with an Application. Mathematics2020, 8, 695.
Hasanuzzaman, M.; Sessa, S.; Imdad, M.; Alfaqih, W.M. Fixed Point Results for a Selected Class of Multi-Valued Mappings under (θ,R)-Contractions with an Application. Mathematics 2020, 8, 695.
Hasanuzzaman, M.; Sessa, S.; Imdad, M.; Alfaqih, W.M. Fixed Point Results for a Selected Class of Multi-Valued Mappings under (θ,R)-Contractions with an Application. Mathematics2020, 8, 695.
Hasanuzzaman, M.; Sessa, S.; Imdad, M.; Alfaqih, W.M. Fixed Point Results for a Selected Class of Multi-Valued Mappings under (θ,R)-Contractions with an Application. Mathematics 2020, 8, 695.
Abstract
In this article, we introduce a relatively new concept of multi-valued (θ;R)-contractions and utilize the same to prove some xed point results for a new class of multi-valued mappings in metric spaces endowed with an amorphous binary relation. Illustrative examples are also provided to exhibit the utility of our results proved herein. Finally, we utilize some of our results to investigate the existence and uniqueness of a positive solution for the integral equation of Volterra type.
Keywords
fixed point; integral equation; binary relation
Subject
Computer Science and Mathematics, Analysis
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.
