Open AccessCommon fixed points of fuzzy set-valued contractive mappings on metric spaces with a directed graph
Author(s) -
Muhammad Rafique,
Talat Nazır,
Mujahid Abbas
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022125
Subject(s) - mathematics , coincidence point , metric space , fixed point , fuzzy logic , discrete mathematics , coincidence , class (philosophy) , metric (unit) , set (abstract data type) , graph , product metric , point (geometry) , fixed point theorem , pure mathematics , computer science , mathematical analysis , artificial intelligence , geometry , medicine , alternative medicine , operations management , economics , programming language , pathology
We introduce a new class of generalized graphic fuzzy $ F $- contractive mappings on metric spaces and establish the existence of common fuzzy coincidence and fixed point results for such contractions. It is significant to note that we do not use any form of continuity of mappings to prove these results. Some examples are provided to verify our proven results. Various developments in the existing literature are generalized and extended by our results. It is aimed that the initiated concepts in this work will encourage new research aspects in fixed point theory and related hybrid models in the literature of fuzzy mathematics.