A novel framework of complex valued fuzzy metric spaces and fixed point theorems
Journal article
Authors/Editors
Strategic Research Themes
No matching items found.
Publication Details
Author list: Singh D., Joshi V., Imdad M., Kumam P.
Publisher: IOS Press
Publication year: 2016
Journal: Journal of Intelligent and Fuzzy Systems (1064-1246)
Volume number: 30
Issue number: 6
Start page: 3227
End page: 3238
Number of pages: 12
ISSN: 1064-1246
Languages: English-Great Britain (EN-GB)
View in Web of Science | View on publisher site | View citing articles in Web of Science
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. ฉ 2016 - IOS Press and the authors. All rights reserved.
Keywords
Complex fuzzy set, complex valued complete fuzzy metric spaces, complex valued fuzzy metric spaces, fixed point theorem, rational expression
Contact Information