Banach空间中的广义平衡问题和相对非扩张映象的强收敛定理  

Strong Convergence Theorem for a Generalized Equilibrium Problem and a Relatively Nonexpansive Mapping in a Banach Space

作　　者：唐金芳[1] 陈春梅[1] 

机构地区：[1]宜宾学院数学与应用数学系

出　　处：《宜宾学院学报》2009年第12期9-12,共4页Journal of Yibin University

摘　　要：在Banach空间中针对广义平衡问题和相对非扩张映象的不动点问题,用收缩投影方法构造了一个迭代序列,证明了广义平衡问题和相对非扩张映象的强收敛定理.所得结论改进了Wataru Takahashi和Kei Zembayashi等人的研究结果.By using the shrinking projection method, an iterative scheme for approximating a common element of the set of a generalized equilibrium problem and the set of fixed points of a relatively nonexpansive mapping in a Banach space was induced. Under suitable conditions some strong convergence theorems were proved.

关 键 词：相对非扩张映象 不动点 逆强单调映象 变分不等式 平衡问题 

分 类 号：O177.2[理学—数学]