Approximation of Solutions of an Equilibrium Problem in a Banach Space
An equilibrium problem is investigated based on a hybrid projection iterative algorithm. Strong convergence theorems for solutions of the equilibrium problem are established in a strictly convex and uniformly smooth Banach space which also enjoys the Kadec-Klee property.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/812783 |
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| _version_ | 1850212368019095552 |
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| author | Hecai Yuan Guohong Shi |
| author_facet | Hecai Yuan Guohong Shi |
| author_sort | Hecai Yuan |
| collection | DOAJ |
| description | An equilibrium problem is investigated based on a hybrid projection iterative
algorithm. Strong convergence theorems for solutions of the equilibrium problem are established in a
strictly convex and uniformly smooth Banach space which also enjoys the Kadec-Klee property. |
| format | Article |
| id | doaj-art-8e751c80e17d49be9020d2b654307648 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8e751c80e17d49be9020d2b6543076482025-08-20T02:09:21ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/812783812783Approximation of Solutions of an Equilibrium Problem in a Banach SpaceHecai Yuan0Guohong Shi1School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, ChinaCollege of Science, Hebei University of Engineering, Handan 056038, ChinaAn equilibrium problem is investigated based on a hybrid projection iterative algorithm. Strong convergence theorems for solutions of the equilibrium problem are established in a strictly convex and uniformly smooth Banach space which also enjoys the Kadec-Klee property.http://dx.doi.org/10.1155/2012/812783 |
| spellingShingle | Hecai Yuan Guohong Shi Approximation of Solutions of an Equilibrium Problem in a Banach Space Journal of Applied Mathematics |
| title | Approximation of Solutions of an Equilibrium Problem in a Banach Space |
| title_full | Approximation of Solutions of an Equilibrium Problem in a Banach Space |
| title_fullStr | Approximation of Solutions of an Equilibrium Problem in a Banach Space |
| title_full_unstemmed | Approximation of Solutions of an Equilibrium Problem in a Banach Space |
| title_short | Approximation of Solutions of an Equilibrium Problem in a Banach Space |
| title_sort | approximation of solutions of an equilibrium problem in a banach space |
| url | http://dx.doi.org/10.1155/2012/812783 |
| work_keys_str_mv | AT hecaiyuan approximationofsolutionsofanequilibriumprobleminabanachspace AT guohongshi approximationofsolutionsofanequilibriumprobleminabanachspace |