摘要
设H是一实Hilbert空间,C是H的非空有界闭凸子集.为寻求广义似平衡问题(GELP)的解集与k-严格伪压缩映象的不动点集的公共元,引入和研究了一种新的混合迭代算法,并在适当的条件下,利用Moudafi提出的黏性逼近算法证明了逼近于这一公共元的某些强收敛定理,所得结果改进和推广了文献的相应结果.
A hybrid iterative algorithm is introduced and studied in this paper in order to find out the common elements of solution set of a generalized equlibrium-like problem and the set of fixed points of a k-strict pseudo-contraction maaping in H.By using the Moudafi＇s viscosity approximation method,strong convergence theorems are proved under suitable conditions.The results obtained in the paper extend and improve some recent results in literature.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第5期638-644,共7页
Journal of Sichuan Normal University（Natural Science）
基金
四川省青年科技基金(06ZQ026-013)资助项目
关键词
黏性逼近法
广义平衡问题
非扩张映象
不动点
viscosity approximation method
generalized equilibrium-like problem
nonexpansive mapping
fixed point
