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Controlled fuzzy metric spaces and some related fixed point results
Author(s) -
Sezen Müzeyyen Sangurlu
Publication year - 2021
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22541
Subject(s) - mathematics , fixed point theorem , metric space , fuzzy logic , fixed point , contraction principle , generalization , discrete mathematics , injective metric space , pure mathematics , contraction mapping , extension (predicate logic) , mathematical analysis , computer science , artificial intelligence , programming language
In this paper, we introduce a new extension in the subject of fuzzy metric, called controlled fuzzy metric space. This notion is a generalization of fuzzy b‐metric space. Also, we prove a Banach‐type fixed point theorem and a new fixed point theorem for some self‐mappings satisfying fuzzy ψ ‐contraction condition that is more general than existing theorems. Furthermore, we establish some examples about our main results.