摘要
在一致凸一致光滑的Banach空间中引进了一个新的混合迭代序列,利用混合临近点法,找到了均衡问题与变分不等式及有限族半相对非扩张映射不动点问题的公共解(简称"三解合一"),并证明了该迭代序列强收敛到其公共解.所得结果改进和推广了已有的相应结果.
It was introduced a new hybrid iterative scheme for finding the common solutions of the set of solutions of an equilibrium problem,the set of solutions of a variational inequality and the fixed points of finite hemi-relatively non-expansive mappings by using of hybrid proximal-point methods in uniformly smooth and uniformly convex Banach space.Its strongly convergence was proved.The results improved and extended some related results of other authors.
出处
《浙江师范大学学报（自然科学版）》
CAS
2011年第2期126-131,共6页
Journal of Zhejiang Normal University:Natural Sciences
基金
国家自然科学基金资助项目(11071169)
关键词
混合临近点法
均衡问题
变分不等式
半相对非扩张映射
广义投影
hybrid proximal-point method
equilibrium problem
variational inequality
hemi-relatively non-expansive mapping
generalized projection
