Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Fixed Point Results for a New Class of Multi-Valued Mappings Under (θ; R)-Contractions With an Application

Version 1 : Received: 19 February 2020 / Approved: 21 February 2020 / Online: 21 February 2020 (03:22:12 CET)

A peer-reviewed article of this Preprint also exists.

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. Mathematics 2020, 8, 695.

Journal reference: Mathematics 2020, 8, 695
DOI: 10.3390/math8050695

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.

Subject Areas

fixed point; integral equation; binary relation

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