Fixed Point Results for Multi-Valued Contractions in b ?Metric Spaces and an Application

Haitham Qawaqneh, Mohd Salmi Md Noorani, Wasfi Shatanawi, Hassen Aydi and Habes Alsamir
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Haitham Qawaqneh: Department of Mathematics, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM Bangi, Selangor DE 43600, Malaysia
Mohd Salmi Md Noorani: Department of Mathematics, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM Bangi, Selangor DE 43600, Malaysia
Wasfi Shatanawi: Department of Mathematics and General Courses, Prince Sultan University, Riyadh 11586, Saudi Arabia
Hassen Aydi: Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P.O. Box 12020, Industrial Jubail 31961, Saudi Arabia
Habes Alsamir: Department of Mathematics, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM Bangi, Selangor DE 43600, Malaysia

Mathematics, 2019, vol. 7, issue 2, 1-13

Abstract: In this paper, by characterizing a weak contractive condition based on using C − functions and α − admissible multi-valued mapping of type S , we present some fixed point results for ( α , F ) − admissible multi-valued mappings in the setting of b − metric spaces. Some examples and an application are added in order to show the reliability of our obtained results. Our results amend, unify, and generalize some existing results in the literature. The scientific novelty of our main results is to take new contraction self-mappings in b − metric spaces for multi-valued mappings.

Keywords: ? ?admissible mapping of type S; multi-valued mapping; Fixed point; b ?metric space; Hausdorff metric (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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