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Title: Proximal algorithms for a class of mixed equilibrium problems
Authors: Song, Y
Zhang, Q
Keywords: Mixed equilibrium problem
Proximal algorithm
Variational inequality
Issue Date: 2-Oct-2012
Publisher: Springer
Source: Fixed point theory and applications, 2 Oct. 2012, v. 2012:166, p.1-15 How to cite?
Journal: Fixed point theory and applications 
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.
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 (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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