Name
Title | ||
|---|---|---|
A new iterative method for equilibrium problems and fixed point problems of infinitely nonexpansive mappings and monotone mappings |
Abstract | ||
|---|---|---|
In this paper, we introduce a new iterative scheme for finding the common element of the set of common fixed points of infinitely many nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality for @a-inverse-strongly monotone mapping in Hilbert spaces. We prove that the sequence converges strongly to a common element of the above three sets under some parameters controlling conditions. This main result improve and extend Plubtieng and Punpaeng's corresponding result [S. Plubtieng, R. Punpaeng, A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings, Applied Mathematics and Computation 197 (2008), 548-558]. Using this theorem, we obtain three corollaries. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.amc.2009.05.041 | Applied Mathematics and Computation |
Keywords | Field | DocType |
variational inequality,equilibrium problem,α -inverse-strongly monotone mapping,nonexpansive mapping,-inverse-strongly monotone mapping,α,fixed point,hilbert space,iteration method | Hilbert space,Mathematical optimization,Iterative method,Mathematical analysis,Coincidence point,Fixed point,Numerical analysis,Numerical linear algebra,Mathematics,Monotone polygon,Variational inequality | Journal |
Volume | Issue | ISSN |
215 | 2 | Applied Mathematics and Computation |
Citations | PageRank | References |
7 | 0.79 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jing Zhao | 1 | 14 | 2.73 |
| Songnian He | 2 | 42 | 8.08 |