Hybrid Fixed Point Theorems of Fuzzy Soft Set-Valued Maps with Applications in Integral Inclusions and Decision Making

Mohammed Shehu Shagari, Maha Noorwali () and Akbar Azam
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Mohammed Shehu Shagari: Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria 23401, Nigeria
Maha Noorwali: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Akbar Azam: Department of Mathematics, Grand Asian University, Sialkot 7KM, Pasrur Road, Sialkot 51310, Pakistan

Mathematics, 2023, vol. 11, issue 6, 1-20

Abstract: A lot of work has been completed in efforts to extend the notions of soft set and fuzzy soft set and their applications to other domains. However, neither of the two concepts has been examined in the study of functional equations in b -metric spaces. Given this background information, this paper proposes the idea of b -hybrid fuzzy soft contraction in b -metric space and investigates new criteria for the existence of fixed points for such mappings. The significance of the obtained principal result lies in the fact that the contractive inequalities can be specialized in various ways, depending on the choice of the parameters, thereby making it possible to unify, deduce, and refine several corresponding results. To motivate further studies in the directions studied herein, two applications regarding decision-making problems and an existence theorem of integral inclusion are considered, using fuzzy soft set-valued maps.

Keywords: b -metric space; soft set; fuzzy soft set; fuzzy soft set-valued map; hybrid contraction; integral inclusion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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