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http://hdl.handle.net/10397/7620
Title: | Proximal algorithms for a class of mixed equilibrium problems | Authors: | Song, Y Zhang, Q |
Issue Date: | 2-Oct-2012 | Source: | Fixed point theory and applications, 2 Oct. 2012, v. 2012:166, p.1-15 | Abstract: | We present two proximal algorithms for solving the mixed equilibrium problems. Under some simpler framework, the strong and weak convergence of the sequences defined by two general algorithms is respectively obtained. In particular, we deal with several iterative schemes in a united way and apply our algorithms for solving the classical equilibrium problem, the minimization problem, the classical variational inequality problem and the generalized variational inequality problem. Our results properly include some corresponding results in this field as a special case. | Keywords: | Mixed equilibrium problem Proximal algorithm Variational inequality |
Publisher: | Springer | Journal: | Fixed point theory and applications | ISSN: | 1687-1820 | EISSN: | 1687-1812 | DOI: | 10.1186/1687-1812-2012-166 | Rights: | © 2012 Song and Zhang; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Appears in Collections: | Journal/Magazine Article |
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