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Mathematics 2019, 7(3), 307; https://doi.org/10.3390/math7030307

Fixed Point Results for α*-ψ-Dominated Multivalued Contractive Mappings Endowed with Graphic Structure

1
Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan
2
Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan
3
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
4
Mathematics Department, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Received: 23 February 2019 / Revised: 11 March 2019 / Accepted: 13 March 2019 / Published: 26 March 2019
(This article belongs to the Special Issue Applications in Theoretical and Computational Fixed Point Problems)
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PDF [280 KB, uploaded 26 March 2019]

Abstract

The purpose of this paper is to establish fixed point results for a pair α -dominated multivalued mappings fulfilling generalized locally new α - ψ -Ćirić type rational contractive conditions on a closed ball in complete dislocated metric spaces. Examples and applications are given to demonstrate the novelty of our results. Our results extend several comparable results in the existing literature. View Full-Text
Keywords: fixed point; complete dislocated metric space; α*-dominated multivalued mapping; α*-ψ-Ćirić type rational contraction; graphic contraction; closed ball fixed point; complete dislocated metric space; α*-dominated multivalued mapping; α*-ψ-Ćirić type rational contraction; graphic contraction; closed ball
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 (CC BY 4.0).
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Rasham, T.; Shoaib, A.; Alamri, B.A.S.; Asif, A.; Arshad, M. Fixed Point Results for α*-ψ-Dominated Multivalued Contractive Mappings Endowed with Graphic Structure. Mathematics 2019, 7, 307.

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