Open AccessFixed points of hesitant fuzzy set-valued maps with applications
Author(s) -
Mohammed Shehu Shagari,
Akbar Azam
Publication year - 2021
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.13.3.711-726
Subject(s) - mathematics , generality , fixed point , extension (predicate logic) , fuzzy logic , set (abstract data type) , class (philosophy) , fuzzy set , fixed point theorem , algebra over a field , discrete mathematics , type (biology) , pure mathematics , computer science , artificial intelligence , mathematical analysis , programming language , psychology , ecology , psychotherapist , biology
In this paper, the notion of hesitant fuzzy fixed points is introduced. To this end, we define Suzuki-type $(\alpha,\beta)$-weak contractions in the framework of hesitant fuzzy set-valued maps, thereby establishing some corresponding fixed point theorems. The presented concept herein is an extension of fuzzy set-valued and multi-valued mappings in the corresponding literature. Examples are provided to support the assertions and generality of our obtained ideas. Moreover, one of our results is applied to investigate sufficient conditions for existence of a class of functional equation arising in dynamic programming.