Fixed point theorems for contractive and weakly compatible mapping in complete intuitionistic fuzzy metric space

Authors :: Vaibhav Sharma
Sanjay Kumar
Mahesh C. Joshi
Source :: The Journal of Analysis. 29:1375-1390
Publication Year :: 2021
Publisher :: Springer Science and Business Media LLC, 2021.
Abstract: In this paper, we introduce a new class of contractive mapping in intuitionistic fuzzy metric space (IFMS). We establish fixed point theorems under such contractive mapping in complete IFMS and prove a common fixed point theorem for weakly compatible mappings under ϕ-contractive conditions in IFMS.

Subjects :: Pure mathematics
Algebra and Number Theory
Weakly compatible
Functional analysis
Applied Mathematics
Intuitionistic fuzzy
Fixed-point theorem
symbols.namesake
Metric space
Special functions
Fourier analysis
symbols
Geometry and Topology
Analysis
Common fixed point theorem
Mathematics

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