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

Tahair Rasham, Abdullah Shoaib, Badriah A. S. Alamri, Awais Asif and Muhammad Arshad
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Tahair Rasham: Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan
Abdullah Shoaib: Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan
Badriah A. S. Alamri: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Awais Asif: Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan
Muhammad Arshad: Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan

Mathematics, 2019, vol. 7, issue 3, 1-14

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 -?iri? 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.

Keywords: fixed point; complete dislocated metric space; ? * -dominated multivalued mapping; ? * - ? -?iri? type rational contraction; graphic contraction; closed ball (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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