Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces
We first extend the definition of Wn from an infinite family of nonexpansive mappings to an infinite family of strictly pseudocontractive mappings, and then propose an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium proble...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/416476 |
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| author | Haitao Che Meixia Li Xintian Pan |
| author_facet | Haitao Che Meixia Li Xintian Pan |
| author_sort | Haitao Che |
| collection | DOAJ |
| description | We first extend the definition of Wn from an infinite family of nonexpansive mappings to an infinite family of strictly pseudocontractive mappings, and then propose an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of an infinite family of ki-strictly pseudocontractive mappings in Hilbert spaces. The results obtained in this paper extend and improve the recent ones announced by many others. Furthermore, a numerical example is presented to illustrate the effectiveness of the proposed scheme. |
| format | Article |
| id | doaj-art-31305d1b54fb47f68c233d0ce891e5fb |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-31305d1b54fb47f68c233d0ce891e5fb2025-02-03T01:01:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/416476416476Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert SpacesHaitao Che0Meixia Li1Xintian Pan2School of Mathematics and Information Science, Weifang University, Shandong Weifang 261061, ChinaSchool of Mathematics and Information Science, Weifang University, Shandong Weifang 261061, ChinaSchool of Mathematics and Information Science, Weifang University, Shandong Weifang 261061, ChinaWe first extend the definition of Wn from an infinite family of nonexpansive mappings to an infinite family of strictly pseudocontractive mappings, and then propose an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of an infinite family of ki-strictly pseudocontractive mappings in Hilbert spaces. The results obtained in this paper extend and improve the recent ones announced by many others. Furthermore, a numerical example is presented to illustrate the effectiveness of the proposed scheme.http://dx.doi.org/10.1155/2012/416476 |
| spellingShingle | Haitao Che Meixia Li Xintian Pan Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces Journal of Applied Mathematics |
| title | Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces |
| title_full | Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces |
| title_fullStr | Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces |
| title_full_unstemmed | Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces |
| title_short | Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces |
| title_sort | convergence theorems for equilibrium problems and fixed point problems of an infinite family of ki strictly pseudocontractive mapping in hilbert spaces |
| url | http://dx.doi.org/10.1155/2012/416476 |
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