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- Title
Fixed Point Theory in Fuzzy Normed Linear Spaces: A General View.
- Authors
Dzitac, S.; Oros, H.; Deac, D.; Nadaban, S.
- Abstract
In this paper we have presented, firstly, an evolution of the concept of fuzzy normed linear spaces, different definitions, approaches as well as generalizations. A special section is dedicated to fuzzy Banach spaces. In the case of fuzzy normed linear spaces, researchers have been working, until now, with a definition of completeness inspired by M. Grabiec's work in the context of fuzzy metric spaces. We propose another definition and we prove that it is much more adequate, inspired by the work of A.George and P. Veeramani. Finally, some important results in fuzzy fixed point theory were highlighted.
- Subjects
FIXED point theory; VECTOR spaces; BANACH spaces; METRIC spaces; NORMED rings
- Publication
International Journal of Computers, Communications & Control, 2021, Vol 16, Issue 6, p1
- ISSN
1841-9836
- Publication type
Article
- DOI
10.15837/ijccc.2021.6.4587