Fixed Point Theorems for Asymptotically Contractive Multimappings
We present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions. Some existence results of coincidence points and eigenvalues for multimappings are given.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/862791 |
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| _version_ | 1832554544169484288 |
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| author | M. Djedidi K. Nachi |
| author_facet | M. Djedidi K. Nachi |
| author_sort | M. Djedidi |
| collection | DOAJ |
| description | We present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions. Some existence results of coincidence points and eigenvalues for multimappings are given. |
| format | Article |
| id | doaj-art-0f6f3113783540a8be11ce79a055988e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0f6f3113783540a8be11ce79a055988e2025-02-03T05:51:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/862791862791Fixed Point Theorems for Asymptotically Contractive MultimappingsM. Djedidi0K. Nachi1Department of Mathematics, El Oued University, Alger, AlgeriaDepartment of Mathematics, Oran University, Oran, AlgeriaWe present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions. Some existence results of coincidence points and eigenvalues for multimappings are given.http://dx.doi.org/10.1155/2012/862791 |
| spellingShingle | M. Djedidi K. Nachi Fixed Point Theorems for Asymptotically Contractive Multimappings International Journal of Mathematics and Mathematical Sciences |
| title | Fixed Point Theorems for Asymptotically Contractive Multimappings |
| title_full | Fixed Point Theorems for Asymptotically Contractive Multimappings |
| title_fullStr | Fixed Point Theorems for Asymptotically Contractive Multimappings |
| title_full_unstemmed | Fixed Point Theorems for Asymptotically Contractive Multimappings |
| title_short | Fixed Point Theorems for Asymptotically Contractive Multimappings |
| title_sort | fixed point theorems for asymptotically contractive multimappings |
| url | http://dx.doi.org/10.1155/2012/862791 |
| work_keys_str_mv | AT mdjedidi fixedpointtheoremsforasymptoticallycontractivemultimappings AT knachi fixedpointtheoremsforasymptoticallycontractivemultimappings |