Banach空间中平衡问题与渐进非扩张映像的迭代  

Iteration Algorithm for Equilbrium Problem and Asymptotically Nonexpansive Mappings in Banach Spaces

作　　者：朱寿国[1] 

机构地区：[1]南京师范大学泰州学院,江苏泰州225300

出　　处：《宜宾学院学报》2011年第12期25-27,39,共4页Journal of Yibin University

摘　　要：在Banach空间中,引入了一种混合投影迭代算法用来构造平衡问题与渐进非扩张映像不动点问题的公共元,并利用广义投影算子证明了此迭代算法生成的序列强收敛于这两个问题的公共元.A hybrid projection iterative algorithm was introduced for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of an asymptotically nonexpansive mapping in a Banach space.The strong convergence theorems are proved by using generalized projection operator.

关 键 词：平衡问题 混合投影迭代算法 广义投影 渐进非扩张映像 

分 类 号：O17[理学—数学]