Abstract | ||
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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 |
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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 Kanwal | 1 | 0 | 0.68 |
Akbar Azam | 2 | 26 | 7.91 |