Shrinking Projection Method of Common Solutions for Generalized Equilibrium Quasi-ϕ-Nonexpansive Mapping and Relatively Nonexpansive Mapping
| Autor: | Min Liu, Shih-Sen Chang, Ping Zuo |
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| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Journal of Inequalities and Applications, Vol 2010 (2010) |
| Druh dokumentu: | article |
| ISSN: | 1025-5834 1029-242X |
| DOI: | 10.1155/2010/101690 |
| Popis: | We prove a strong convergence theorem for finding a common element of the set of solutions for generalized equilibrium problems, the set of fixed points of a relatively nonexpansive mapping, and the set of fixed points of a quasi-ϕ-nonexpansive mapping in a Banach space by using the shrinking Projection method. Our results improve the main results in S. Takahashi and W. Takahashi (2008) and Takahashi and Zembayashi (2008). Moreover, the method of proof adopted in the paper is different from that of S. Takahashi and W. Zembayashi (2008). |
| Databáze: | Directory of Open Access Journals |
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