A contraction theorem in fuzzy metric spaces.
Razani, Abdolrahman (2005)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Topological degree theory in fuzzy metric spaces”
A contraction theorem in fuzzy metric spaces.
Fuzzy distances
Josef Bednář (2005)
Kybernetika
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In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to are dealt with in detail.
On generalizations of fuzzy metric spaces
Yi Shi, Wei Yao (2023)
Kybernetika
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The aim of the paper is to present three-variable generalizations of fuzzy metric spaces in sense of George and Veeramani from functional and topological points of view, respectively. From the viewpoint of functional generalization, we introduce a notion of generalized fuzzy 2-metric spaces, study their topological properties, and point out that it is also a common generalization of both tripled fuzzy metric spaces proposed by Tian et al. and -fuzzy metric spaces proposed by Sedghi...
Metrics on vector spaces with -localisation.
Grosu, Marta, Grosu, Corina (2001)
APPS. Applied Sciences
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A new approach for fuzzy gyronorms on gyrogroups and its fuzzy topologies
Yu Shen, Conghua Yan (2024)
Kybernetika
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In this paper, a new approach for fuzzy gyronorms on gyrogroups is presented. The relations between fuzzy metrics(in the sense of Morsi), fuzzy gyronorms, gyronorms on gyrogroups are studied. Also, some sufficient conditions, which can make a fuzzy normed gyrogroup to be a topological gyrogroup and a fuzzy topological gyrogroup, are found. Meanwhile, the relations between topological gyrogroups, fuzzy topological gyrogroups and stratified fuzzy topological gyrogroups are studied. Finally,...
The variational principle of fixed point theorems in certain fuzzy topological spaces
P. Balasubramaniam, S. Murali Sankar (2001)
Kybernetika
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The main purpose of this paper is to introduce the concept of -type fuzzy topological spaces. Further variational principle and Caristi’s fixed point theorem have been extended in the -type fuzzy topological spaces.