Fixed Point Results for Multi-Valued Contractions in b−Metric Spaces and an Application
Department of Mathematics, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM Bangi, Selangor DE 43600, Malaysia
Department of Mathematics and General Courses, Prince Sultan University, Riyadh 11586, Saudi Arabia
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P.O. Box 12020, Industrial Jubail 31961, Saudi Arabia
Author to whom correspondence should be addressed.
These authors contributed equipollently to this work.
Received: 6 December 2018 / Revised: 12 January 2019 / Accepted: 16 January 2019 / Published: 1 February 2019
In this paper, by characterizing a weak contractive condition based on using
admissible multi-valued mapping of type S
, we present some fixed point results for
admissible multi-valued mappings in the setting of
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
metric spaces for multi-valued mappings.
This is an open access article distributed under the Creative Commons Attribution License
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MDPI and ACS Style
Qawaqneh, H.; Md Noorani, M.S.; Shatanawi, W.; Aydi, H.; Alsamir, H. Fixed Point Results for Multi-Valued Contractions in b−Metric Spaces and an Application. Mathematics 2019, 7, 132.
Qawaqneh H, Md Noorani MS, Shatanawi W, Aydi H, Alsamir H. Fixed Point Results for Multi-Valued Contractions in b−Metric Spaces and an Application. Mathematics. 2019; 7(2):132.
Qawaqneh, Haitham; Md Noorani, Mohd S.; Shatanawi, Wasfi; Aydi, Hassen; Alsamir, Habes. 2019. "Fixed Point Results for Multi-Valued Contractions in b−Metric Spaces and an Application." Mathematics 7, no. 2: 132.
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