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http://www.repository.rmutt.ac.th/xmlui/handle/123456789/32| Title: | A new hybrid projection method for variational inclusion problems and generalized mixed equilibrium problems |
| Authors: | W. Kumam C. Jaiboon P. Kumam A. Singta |
| Keywords: | Generalized mixed equilibrium problem Fixed point Variational inequality Nonexpansive mapping Inverse-strongly monotone mapping |
| Issue Date: | 2553 |
| 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), Takahashi and Takahashi (2008) and many others. |
| Description: | A new hybrid projection method for variational inclusion problems and generalized mixed equilibrium problems |
| URI: | http://www.repository.rmutt.ac.th/dspace/handle/123456789/32 |
| Appears in Collections: | บทความ (Article) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| A new hybrid projection method_.pdf | A new hybrid projection method for variational inclusion problems and generalized mixed equilibrium problems | 140.87 kB | Adobe PDF | View/Open |
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