Fixed Point Results for the Family of Multivalued F -Contractive Mappings on Closed Ball in Complete Dislocated b -Metric Spaces

Qasim Mahmood, Abdullah Shoaib, Tahair Rasham and Muhammad Arshad
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Qasim Mahmood: Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan
Abdullah Shoaib: Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan
Tahair Rasham: 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 1, 1-11

Abstract: The purpose of this paper is to find out fixed point results for the family of multivalued mappings fulfilling a generalized rational type F -contractive conditions on a closed ball in complete dislocated b -metric space. An application to the system of integral equations is presented to show the novelty of our results. Our results extend several comparable results in the existing literature.

Keywords: fixed point; closed ball; family of multivalued mapping; dislocated b-metric space; application to the system of integral equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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