Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert Spaces
This paper is concerned with a common element of the set of fixed point for an asymptotically pseudocontractive mapping in the intermediate sense and the set of solutions of the mixed equilibrium problems in Hilbert spaces. The strong convergence theorem for the above two sets is obtained by a gener...
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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/10.1155/2012/187421 |
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| _version_ | 1832566554715226112 |
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| author | Pattanapong Tianchai |
| author_facet | Pattanapong Tianchai |
| author_sort | Pattanapong Tianchai |
| collection | DOAJ |
| description | This paper is concerned with a common element of the set of fixed point for an asymptotically pseudocontractive mapping in the intermediate sense and the set of solutions of the mixed equilibrium problems in Hilbert spaces. The strong convergence theorem for the above two sets is obtained by a general iterative scheme based on the shrinking projection method, which extends and improves that of Qin et al. (2010) and many others. |
| format | Article |
| id | doaj-art-98da35db5a2a44428b51798d9ee9dfb4 |
| 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-98da35db5a2a44428b51798d9ee9dfb42025-02-03T01:03:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/187421187421Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert SpacesPattanapong Tianchai0Faculty of Science, Maejo University, Chiangmai 50290, ThailandThis paper is concerned with a common element of the set of fixed point for an asymptotically pseudocontractive mapping in the intermediate sense and the set of solutions of the mixed equilibrium problems in Hilbert spaces. The strong convergence theorem for the above two sets is obtained by a general iterative scheme based on the shrinking projection method, which extends and improves that of Qin et al. (2010) and many others.http://dx.doi.org/10.1155/2012/187421 |
| spellingShingle | Pattanapong Tianchai Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert Spaces Journal of Applied Mathematics |
| title | Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert Spaces |
| title_full | Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert Spaces |
| title_fullStr | Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert Spaces |
| title_full_unstemmed | Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert Spaces |
| title_short | Shrinking Projection Method of Fixed Point Problems for Asymptotically Pseudocontractive Mapping in the Intermediate Sense and Mixed Equilibrium Problems in Hilbert Spaces |
| title_sort | shrinking projection method of fixed point problems for asymptotically pseudocontractive mapping in the intermediate sense and mixed equilibrium problems in hilbert spaces |
| url | http://dx.doi.org/10.1155/2012/187421 |
| work_keys_str_mv | AT pattanapongtianchai shrinkingprojectionmethodoffixedpointproblemsforasymptoticallypseudocontractivemappingintheintermediatesenseandmixedequilibriumproblemsinhilbertspaces |