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http://www.repository.rmutt.ac.th/xmlui/handle/123456789/409| Title: | A Shrinking Projection Method for Generalized Mixed Equilibrium Problems, Variational Inclusion Problems and a Finite Family of Quasi-Nonexpansive Mappings |
| Authors: | Kumam, Wiyada Jaiboon, Chaichana Kumam, Poom Singta, Akarate |
| Keywords: | STRICT PSEUDO-CONTRACTIONS; FIXED-POINT PROBLEMS; ITERATIVE ALGORITHMS; MONOTONE MAPPINGS; HILBERT-SPACES; INEQUALITIES; CONVERGENCE; THEOREM |
| Issue Date: | 2010 |
| Publisher: | SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA |
| Citation: | Web of Science Category: Mathematics, Applied; Mathematics |
| Abstract: | The purpose of this paper is to consider a shrinking projection method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of fixed points of a finite family of quasi-nonexpansive mappings, and the set of solutions of variational inclusion problems. Then, we prove a strong convergence theorem of the iterative sequence generated by the shrinking projection method under some suitable conditions in a real Hilbert space. Our results improve and extend recent results announced by Peng et al. (2008), Takahashi et al. (2008), S. Takahashi and W. Takahashi (2008), and many others. |
| Description: | A Shrinking Projection Method for Generalized Mixed Equilibrium Problems, Variational Inclusion Problems and a Finite Family of Quasi-Nonexpansive Mappings |
| URI: | http://www.repository.rmutt.ac.th/dspace/handle/123456789/409 |
| ISSN: | 1029-242X |
| Appears in Collections: | บทความ (Article) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| A Shrinking Projection Method for Generalized Mixed Equilibrium Problems.pdf | 52.41 kB | Adobe PDF | View/Open |
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