Open AccessCommon Fixed Point Theorems for Compatible Maps in Generalized Fuzzy Metric Spaces
Author(s) -
M. Jeyaraman,
S. Sowndrarajan,
A. Ramachandran
Publication year - 2021
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2021/v36i630374
Subject(s) - mathematics , uniqueness , fixed point , metric space , fixed point theorem , pure mathematics , type (biology) , coincidence point , fixed point property , metric (unit) , schauder fixed point theorem , discrete mathematics , mathematical analysis , picard–lindelöf theorem , ecology , operations management , economics , biology
In this paper, we consider generalized fuzzy metric spaces and provide existence and uniqueness fixed point results. First, we use compatible maps of type (β) to prove fixed point results, then we introduce weakly compatible maps to approximate common fixed point results by using an implicit relation.