Hilbert空间中带约束集优化问题的迭代算法  

A general iterative method for optimization problems with constrained sets

作　　者：崔云玲 CUI Yunling(School of Mathematics and Statistics,Fuyang Normal University,Fuyang Anhui 236037,China)

机构地区：[1]阜阳师范大学数学与统计学院,安徽阜阳236037

出　　处：《阜阳师范大学学报（自然科学版）》2020年第4期10-15,共6页Journal of Fuyang Normal University:Natural Science

基　　金：安徽省自然科学基金面上项目(1908085MF192)资助。

摘　　要：本文在实Hilbert空间中引入了特定优化问题的一般迭代算法。该优化问题的约束集为连续单调映象变分不等式问题解集、有限多个连续伪压缩映象公共不动点集和有限多个广义混合均衡问题解集的交集,并验证了迭代法的强收敛性。In this paper, we consider a general iterative method for a specific optimization problem with constraints of variational inequality, fixed point and generalized mixed equilibrium problems. The strong convergence of the suggested iterative scheme was established under some mild rules.

关 键 词：优化问题 连续伪压缩映象 变分不等式 混合平衡问题 

分 类 号：O224[理学—运筹学与控制论]