广义均衡问题和有限个相对非扩张映射的收敛定理
Convergence theorems for generalized equilibrium problems and finited relatively nonexpansive mappings
叶静妮 1秦秀根1
作者信息
- 1. 福州大学至诚学院,福建福州 350002
- 折叠
摘要
在Banach空间中研究求解广义均衡问题的解集和相对非扩张映射的不动点集的公共元的迭代算法,获得了所生成序列的强收敛和弱收敛定理,所得结果扩展了相关研究成果.
Abstract
In this paper, we introduce an iterative algorithm for finding the common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of relatively nonexpan-sive mappings in Banach spaces. We obtain a strong convergence theorem and a weak convergence theorem. The result presented in this paper extends the corresponding results.
关键词
广义均衡问题/相对非扩张映射/不动点Key words
generalized equilibrium problem/relatively nonexpansive mapping/fixed point引用本文复制引用
出版年
2012