NDLI: Schauder-Type Fixed Point Theorem in Generalized Fuzzy Normed Linear Spaces

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Schauder-Type Fixed Point Theorem in Generalized Fuzzy Normed Linear Spaces

Content Provider	MDPI
Author	Chatterjee, S. Bag, T. Lee, Jeong-Gon
Copyright Year	2020
Description	In the present article, the Schauder-type fixed point theorem for the class of fuzzy continuous, as well as fuzzy compact operators is established in a fuzzy normed linear space (fnls) whose underlying t-norm is left-continuous at $(1,1)$ . In the fuzzy setting, the concept of the measure of non-compactness is introduced, and some basic properties of the measure of non-compactness are investigated. Darbo’s generalization of the Schauder-type fixed point theorem is developed for the class of $ψ$ -set contractions. This theorem is proven by using the idea of the measure of non-compactness.
Starting Page	1643
e-ISSN	22277390
DOI	10.3390/math8101643
Journal	Mathematics
Issue Number	10
Volume Number	8
Language	English
Publisher	MDPI
Publisher Date	2020-09-23
Access Restriction	Open
Subject Keyword	Mathematics Artificial Intelligence Schauder Fixed Point Theorem Fuzzy Normed Linear Space T-norm Measure of Non-compactness
Content Type	Text
Resource Type	Article

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