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A novel framework of complex valued fuzzy metric spaces and fixed point theorems.
- Source :
- Journal of Intelligent & Fuzzy Systems; 2016, Vol. 30 Issue 6, p3227-3238, 12p
- Publication Year :
- 2016
-
Abstract
- In this article, recognizing the innovative concept of complex valued fuzzy set due to Ramot et al. [1], we introduce the notion of complex valued fuzzy metric spaces. Several allied topological aspects for complex valued fuzzy metric spaces are also defined which fortify the concept. Moreover the complex valued fuzzy version of some celebrated and essential results from metric spaces including Banach contraction principle and the main theorem of Jungck [2] are established. Additionally some fixed point theorems satisfying certain rational expressions are proved. [ABSTRACT FROM AUTHOR]
- Subjects :
- METRIC spaces
FUZZY sets
FIXED point theory
BANACH spaces
MATHEMATICS theorems
Subjects
Details
- Language :
- English
- ISSN :
- 10641246
- Volume :
- 30
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Journal of Intelligent & Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 115248350
- Full Text :
- https://doi.org/10.3233/IFS-152065