Approximate Fixed point property in Intuitionistic Fuzzy normed sapce
M\"uzeyyen Ert\"urk, Vatan Karakaya, M. Mursaleem
TL;DR
This paper introduces the concept of approximate fixed point property within intuitionistic fuzzy normed spaces, extending fixed point theory to fuzzy contexts and analyzing specific classes of maps.
Contribution
It defines approximate fixed point property in intuitionistic fuzzy normed spaces and develops fuzzy versions of fixed point maps, exploring their properties.
Findings
Established the concept of approximate fixed point property in fuzzy spaces.
Developed intuitionistic fuzzy versions of fixed point maps.
Analyzed the approximate fixed point property for these maps.
Abstract
In this paper, we define concept of approximate fixed point property of a function and a set in intuitionistic fuzzy normed space. Furthermore, we give intuitionistic fuzzy version of some class of maps used in fixed point theory and investigate approximate fixed point property of these maps.
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Taxonomy
TopicsFixed Point Theorems Analysis · Fuzzy and Soft Set Theory · Optimization and Variational Analysis