Composite viscosity methods for common solutions of general mixed equilibrium problem, variational inequalities and common fixed points
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- 作者：Lu-Chuan Ceng ; Abdul Latif…
- 关键词：composite viscosity iterative algorithm ; general mixed equilibrium ; variational inequalities ; nonexpansive mapping ; inverse strongly monotone mapping
- 刊名：Journal of Inequalities and Applications
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：2015
- 期：1
- 全文大小：1,756 KB
- 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1029-242X
文摘
In this paper, we introduce a new composite viscosity iterative algorithm and prove the strong convergence of the proposed algorithm to a common fixed point of one finite family of nonexpansive mappings and another infinite family of nonexpansive mappings, which also solves a general mixed equilibrium problem and a finite family of variational inequalities. An example is also provided in support of the main result. The main result presented in this paper improves and extends some corresponding ones in the earlier and recent literature.