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- Title
A Role of Fuzzy Set-Valued Maps in Integral Inclusions.
- Authors
Shagari, Mohammed Shehu; Fulatan, Ibrahim Aliyu
- Abstract
The aim of this paper is to introduce the concepts of α-continuity, η-admissible pair for fuzzy set-valued maps and define a notion of fuzzy η−(ψ,F)-contraction. The existence of common fuzzy fixed points for such contraction is investigated in the setting of a complete metric space. The ideas presented herein complement the results of Wardowski, Banach, Heilpern and other results on point-to-point and point-to-set-valued mappings in the comparable literature of metric and fuzzy fixed point theory. A few important of these consequences of our results are highlighted and discussed. Some nontrivial examples and an application to a system of integral inclusions of Fredholm type are considered to support our theorems and to illustrate a usability of the results obtained herein.
- Subjects
SET-valued maps; CONTRACTIONS (Topology); EXISTENCE theorems; FIXED point theory; BANACH spaces
- Publication
Caspian Journal of Mathematical Sciences, 2022, Vol 11, Issue 1, p138
- ISSN
2676-7260
- Publication type
Article