摘要
在Hilbert空间中引入一种新的迭代方法,以寻找广义均衡问题和有限族非扩张映射的不动点集的公共元素,并证明了给出的迭代强收敛于变分不等式的唯一解,同时也强收敛于最小值问题的最优解.
An iterative method is introduced for finding common elements of the solution set of a generalized equilibrium problem and the set of fixed points of a finite family of nonexpansive mappings in a Hilbert space.The strong convergence of the proposed iterative algorithm to the unique solution of the variational inequality which is the optimality condition for the minimization problem is proved.
出处
《天津师范大学学报(自然科学版)》
CAS
北大核心
2010年第2期6-13,72,共9页
Journal of Tianjin Normal University:Natural Science Edition
基金
国家自然科学基金资助项目(10771050)
关键词
逆强单调
广义均衡问题
变分不等式
迭代算法
inverse-strongly monotone mapping
generalized equilibrium problem
variational inequality
iterative algorithm