Banach空间中一类广义均衡问题的收缩投影算法  

A Shrinking Projection Method for a Type of Generalized Equilibrium Problems in Banach Spaces

作　　者：陈玉清[1] 黄建华[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108

出　　处：《莆田学院学报》2013年第5期9-13,17,共6页Journal of putian University

基　　金：福建省自然科学基金资助项目(2012J01005)

摘　　要：在一致凸和一致光滑的Banach空间中,提出通过一种收缩投影算法来得到广义均衡问题解集EP,拟-φ-渐近非扩张算子的不动点集F(S)和极大单调算子T的零点解集T-10的公共解。在适当的条件下,证明了算法所产生的迭代序列强收敛于EP∩T-10∩F(S)中的某一点。In this paper, a shrinking projection method were proposed for finding a common element of the set EP of the solutions of a generalized equilibrium problem, the set F（S） of fixed points of a quasi-φ-asymptotically nonexpansive mapping and the set T-10 of zeros of a maximal monotone operator T in uniformly smooth and uniformly convex Banach spaces. It was proven that under appropriate conditions, the iterative sequence generated by the method converges strongly to some point in EP∩T-10∩F（S）.

关 键 词：BANACH空间 广义均衡问题 收缩投影算法 拟-φ-渐进非扩张算子 极大单调算子 迭代序列 

分 类 号：O177.91[理学—数学]