Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions
The 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 (sh...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/1989423 |
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| _version_ | 1832550605498875904 |
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| author | Shazia Kanwal Akbar Azam |
| author_facet | Shazia Kanwal Akbar Azam |
| author_sort | Shazia Kanwal |
| collection | DOAJ |
| description | The 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. |
| format | Article |
| id | doaj-art-1c964b49d2bd4f24b70a4f2daf6e9564 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-1c964b49d2bd4f24b70a4f2daf6e95642025-02-03T06:06:14ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/19894231989423Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type ContractionsShazia Kanwal0Akbar Azam1Department of Mathematics, GC University, Faisalabad-38000, PakistanDepartment of Mathematics, COMSATS University, Islamabad-44000, PakistanThe 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.http://dx.doi.org/10.1155/2018/1989423 |
| spellingShingle | Shazia Kanwal Akbar Azam Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions Advances in Fuzzy Systems |
| title | Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions |
| title_full | Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions |
| title_fullStr | Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions |
| title_full_unstemmed | Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions |
| title_short | Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions |
| title_sort | common fixed points of intuitionistic fuzzy maps for meir keeler type contractions |
| url | http://dx.doi.org/10.1155/2018/1989423 |
| work_keys_str_mv | AT shaziakanwal commonfixedpointsofintuitionisticfuzzymapsformeirkeelertypecontractions AT akbarazam commonfixedpointsofintuitionisticfuzzymapsformeirkeelertypecontractions |