多值非扩张映射的广义平衡问题的不动点解  

Fixed Point Solutions to Generalized Equilibrium Problems for Multi-Valued Non-Expansive Mappings

作　　者：刘改平[1,2] 

机构地区：[1]太原市第56中学校,太原030024 [2]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2013年第5期93-97,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11071198)

摘　　要：在巴拿赫空间中引入一种迭代算法,并证明了此算法强收敛到多值非扩张映射的不动点集与广义平衡问题解集的公共元素,推广了以前的结论.In this paper, an iterative scheme is introduced for finding a common element of the set of fixed points of a multi-valued non-expansive mapping and the set of solutions of a generalized equilibrium prob- lem in Banach spaces. Then, strong convergence of the scheme to the common element of the two sets is proved.

关 键 词：多值非扩张映射 广义平衡问题 变分不等式 不动点 HAUSDORFF度量 

分 类 号：O177.91[理学—数学]