Title
Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions
Abstract
AbstractThe main purpose of this paper is to establish and prove some new common fixed point theorems for intuitionistic fuzzy maps in the context of (α,β)-cut sets of intuitionistic fuzzy sets on a complete metric space in association with the Hausdorff metric. Furthermore, the technique of Meir-Keeler (shortly, M-K) contraction is applied to obtain common fixed point of intuitionistic fuzzy compatible maps and fixed points of Kannan type intuitionistic fuzzy set-valued contractive mappings. Our results generalize M-K type fixed point theorem along with its various generalizations. Some nontrivial examples have been furnished in the support of the main results.
Year
DOI
Venue
2018
10.1155/2018/1989423
Periodicals
Field
DocType
Volume
Discrete mathematics,Common fixed point,Complete metric space,Generalization,Fuzzy logic,Fuzzy set,Hausdorff distance,Fixed point,Mathematics,Fixed-point theorem
Journal
2018
Issue
ISSN
Citations 
1
1687-7101
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Shazia Kanwal100.68
Akbar Azam2267.91