Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert Spaces
We introduce a new iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed point of a finite family of k-strictly pseudo-contractive nonself-mappings. Strong convergence theorems are established in a real Hilbert space under some su...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/276874 |
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| _version_ | 1832565421261193216 |
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| author | Dao-Jun Wen |
| author_facet | Dao-Jun Wen |
| author_sort | Dao-Jun Wen |
| collection | DOAJ |
| description | We introduce a new iterative scheme for finding a common
element of the set of solutions of an equilibrium problem and the set of common fixed point
of a finite family of k-strictly pseudo-contractive nonself-mappings. Strong convergence
theorems are established in a real Hilbert space under some suitable conditions. Our
theorems presented in this paper improve and extend the corresponding results announced
by many others. |
| format | Article |
| id | doaj-art-0f6ee423b87b4c918e32cab5901eb967 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0f6ee423b87b4c918e32cab5901eb9672025-02-03T01:07:48ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/276874276874Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert SpacesDao-Jun Wen0School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaWe introduce a new iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed point of a finite family of k-strictly pseudo-contractive nonself-mappings. Strong convergence theorems are established in a real Hilbert space under some suitable conditions. Our theorems presented in this paper improve and extend the corresponding results announced by many others.http://dx.doi.org/10.1155/2011/276874 |
| spellingShingle | Dao-Jun Wen Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert Spaces Abstract and Applied Analysis |
| title | Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert Spaces |
| title_full | Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert Spaces |
| title_fullStr | Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert Spaces |
| title_full_unstemmed | Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert Spaces |
| title_short | Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert Spaces |
| title_sort | strong convergence theorems for equilibrium problems and k strict pseudocontractions in hilbert spaces |
| url | http://dx.doi.org/10.1155/2011/276874 |
| work_keys_str_mv | AT daojunwen strongconvergencetheoremsforequilibriumproblemsandkstrictpseudocontractionsinhilbertspaces |