On Fixed-point theorems in Intuitionistic Fuzzy metric Space
T.K. Samanta, Sumit Mohinta, Iqbal H. Jebril
TL;DR
This paper extends fixed-point theorems to intuitionistic fuzzy metric spaces by establishing new conditions for uniqueness and redefining contraction mappings, culminating in a proof of the Banach Fixed Point theorem in this context.
Contribution
It introduces new sufficient conditions for fixed points and redefines contraction mappings within intuitionistic fuzzy metric spaces, proving a version of Banach's theorem.
Findings
Established conditions for unique fixed points in intuitionistic fuzzy metric spaces
Redefined contraction mappings in this setting
Proved the Banach Fixed Point theorem for intuitionistic fuzzy metric spaces
Abstract
In this paper, first we have established two sets of sufficient conditions for a mapping to have unique fixed point in a intuitionistic fuzzy metric space and then we have redefined the contraction mapping in a intuitionistic fuzzy metric space and thereafter we proved the Banach Fixed Point theorem.
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Taxonomy
TopicsFixed Point Theorems Analysis