Name
Title | ||
|---|---|---|
Existence and iteration for a mixed equilibrium problem and a countable family of nonexpansive mappings in Banach spaces |
Abstract | ||
|---|---|---|
We prove the existence of a solution of the mixed equilibrium problem (MEP) by using the KKM mapping in a Banach space setting. Then, by virtue of this result, we construct a hybrid algorithm for finding a common element in the solutions set of a mixed equilibrium problem and the fixed points set of a countable family of nonexpansive mappings in the frameworks of Banach spaces. By using a projection technique, we also prove that the sequences generated by the hybrid algorithm converge strongly to a common element in the solutions set of MEP and common fixed points set of nonexpansive mappings. Moreover, some applications concerning the equilibrium and the convex minimization problems are obtained. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.camwa.2011.03.029 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
metric projection,fixed point,mixed equilibrium problem,nonexpansive mapping,hybrid algorithm converge,common fixed point,hybrid algorithm,convex minimization problem,banach space,common element,countable family,banach space setting | Mathematical optimization,Hybrid algorithm,Countable set,Mathematical analysis,Equilibrium problem,Banach space,Metric projection,Fixed point,Convex optimization,Mathematics | Journal |
Volume | Issue | ISSN |
61 | 9 | Computers and Mathematics with Applications |
Citations | PageRank | References |
3 | 0.46 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Prasit Cholamjiak | 1 | 27 | 8.06 |
| Suthep Suantai | 2 | 43 | 15.06 |