Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings
We introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpansive mappings in a Hilbert space. We prove a strong-convergence theorem under mild assumptions on parameters.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-12-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/64363 |
| _version_ | 1818838298228948992 |
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| author | Jen-Chih Yao Yeong-Cheng Liou Yonghong Yao |
| author_facet | Jen-Chih Yao Yeong-Cheng Liou Yonghong Yao |
| author_sort | Jen-Chih Yao |
| collection | DOAJ |
| description | We introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpansive mappings in a Hilbert space. We prove a strong-convergence theorem under mild assumptions on parameters. |
| first_indexed | 2024-12-19T03:36:10Z |
| format | Article |
| id | doaj.art-525239d00c7a486bb1d9f2a396d3a866 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-19T03:36:10Z |
| publishDate | 2007-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-525239d00c7a486bb1d9f2a396d3a8662022-12-21T20:37:22ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122007-12-01200710.1155/2007/64363Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive MappingsJen-Chih YaoYeong-Cheng LiouYonghong YaoWe introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpansive mappings in a Hilbert space. We prove a strong-convergence theorem under mild assumptions on parameters.http://dx.doi.org/10.1155/2007/64363 |
| spellingShingle | Jen-Chih Yao Yeong-Cheng Liou Yonghong Yao Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings Fixed Point Theory and Applications |
| title | Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings |
| title_full | Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings |
| title_fullStr | Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings |
| title_full_unstemmed | Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings |
| title_short | Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings |
| title_sort | convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings |
| url | http://dx.doi.org/10.1155/2007/64363 |
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