Set Contractions and KKM Mappings in Banach Spaces
Some fixed point theorems for generalized set contraction maps and KKM type ones in Banach spaces are presented. Moreover, a new generalized set contraction is introduced. As an application, some coincidence theorems for KKM type set contractions are obtained.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/346094 |
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| _version_ | 1832562458081886208 |
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| author | A. Razani N. Karamikabir |
| author_facet | A. Razani N. Karamikabir |
| author_sort | A. Razani |
| collection | DOAJ |
| description | Some fixed point theorems for generalized set contraction maps and KKM type ones in Banach spaces are presented. Moreover, a new generalized set contraction is introduced. As an application, some coincidence theorems for KKM type set contractions are obtained. |
| format | Article |
| id | doaj-art-34293a8a24034ffc99eafe0572f40b44 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-34293a8a24034ffc99eafe0572f40b442025-02-03T01:22:29ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/346094346094Set Contractions and KKM Mappings in Banach SpacesA. Razani0N. Karamikabir1Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranSome fixed point theorems for generalized set contraction maps and KKM type ones in Banach spaces are presented. Moreover, a new generalized set contraction is introduced. As an application, some coincidence theorems for KKM type set contractions are obtained.http://dx.doi.org/10.1155/2013/346094 |
| spellingShingle | A. Razani N. Karamikabir Set Contractions and KKM Mappings in Banach Spaces Abstract and Applied Analysis |
| title | Set Contractions and KKM Mappings in Banach Spaces |
| title_full | Set Contractions and KKM Mappings in Banach Spaces |
| title_fullStr | Set Contractions and KKM Mappings in Banach Spaces |
| title_full_unstemmed | Set Contractions and KKM Mappings in Banach Spaces |
| title_short | Set Contractions and KKM Mappings in Banach Spaces |
| title_sort | set contractions and kkm mappings in banach spaces |
| url | http://dx.doi.org/10.1155/2013/346094 |
| work_keys_str_mv | AT arazani setcontractionsandkkmmappingsinbanachspaces AT nkaramikabir setcontractionsandkkmmappingsinbanachspaces |