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Proximal algorithms for a class of mixed equilibrium problems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Song, Yisheng Zhang, Qingnian |
| Copyright Year | 2012 |
| 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. MSC: 47H06; 47J05; 47J25; 47H10; 90C33; 90C25; 49M45; 65C25; 49J40; 65J15; 47H09 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://fixedpointtheoryandapplications.springeropen.com/track/pdf/10.1186/1687-1812-2012-166?site=fixedpointtheoryandapplications.springeropen.com |
| Alternate Webpage(s) | http://ira.lib.polyu.edu.hk/bitstream/10397/7620/1/Song_Proximal_Algorithms_Mixed.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Algorithm Calculus of variations Convergence (action) Iterative method Kind of quantity - Equilibrium Social inequality Variational inequality Variational principle |
| Content Type | Text |
| Resource Type | Article |
