涉及无限族严格伪压缩映象的广义混合平衡问题的混合迭代算法  

A Hybrid Iterative Scheme for Generalized Mixed Equilibrium Problems with Infinitely Many Strictly Pseudocontractive Mappings

作　　者：饶若峰[1] 何庆高[1] 

机构地区：[1]宜宾学院数学系,四川宜宾644007

出　　处：《西南大学学报（自然科学版）》2009年第12期116-120,共5页Journal of Southwest University(Natural Science Edition)

基　　金：四川省教育厅(青年)自然科学基金资助项目(08ZB002)

摘　　要：用KKM技巧研究了涉及无限族严格伪压缩映象的广义混合平衡问题解的迭代逼近,得到了该迭代算法强收敛于无限族严格伪压缩映象的公共不动点集与广义混合平衡问题的解集之公共元素的结论.With the help of KKM technique,the iterative approximation for a generalized mixed equilibrium problem,involved with infinitely many strictly pseudocontractive mappings,is studied and investigated.It is proved that the iterative scheme converges strongly to a common element of the set of solutions of the equilibrium problem and the set of common fixed points of infinitely many strictly pseudocontractive mappings.

关 键 词：广义混合平衡问题 混合迭代算法 η-强凸函数 逆强单调映象 KKM映象 

分 类 号：O177.91[理学—数学]