一类变分包含组解的强收敛定理  

Strong Convergence Theorem for a System of Variational Inclusion

作　　者：史杰[1] 冯世强[1] 何中全[1] 

机构地区：[1]西华师范大学数学与信息学院,中国南充637009

出　　处：《湖南师范大学自然科学学报》2012年第2期14-19,共6页Journal of Natural Science of Hunan Normal University

基　　金：四川省教育厅重点课题基金资助项目(08ZA159);西华师范大学校基金资助项目(11A028)

摘　　要：研究了Banach空间中一类变分包含组解问题.构造了一类非扩张映射,并讨论了它们的性质.把变分包含组问题转化为映射不动点问题.利用定义的非扩张映射,引入新的迭代算法.研究了由迭代算法生成的序列的收敛性,得到这类变分包含组问题解的强收敛定理.A new system of variational inclusions in Banach spaces is studied. Some nonexpansive mappings are defined. The variational inclusion problems are transformed into mapping fixed point problems. A new iteration algorithm is introduced by the nonexpansive mappings. The convergence of iterative sequence generated by the algorithm is researched. And the strong convergence theorems of the solution for this system of variational inclusions are derived.

关 键 词：变分包含组 迭代算法 强收敛 非扩张 投影算子 

分 类 号：O177.91[理学—数学]