q-一致平滑Banach空间上非线性变分包含组的逼近可解性  

The Approximate Solvability of A System of Nonlinear Variational Inclusions In q-Uniformly Smooth Banach Spaces

作　　者：葛静[1] 杨青[1] 

机构地区：[1]淮阴师范学院数学系,江苏淮安223300

出　　处：《淮阴师范学院学报（自然科学版）》2006年第4期264-266,269,共4页Journal of Huaiyin Teachers College;Natural Science Edition

摘　　要：在q-一致平滑Banach空间中研究了一类非线性变分包含组,运用m-增殖映射的预解算子技巧,构造了一类迭代序列,证明了在q-一致平滑Banach空间上这类迭代序列的收敛性,推广了Verma一文中的有关结果.In this paper, we study a system of nonlinear variational inclusions in q-uniformly smooth Banach spaces. By using resolvent operator technique for m-accretive mappings. We constract some iterative algorithms for solving this system of nonlinear variational inclusions, the convergence of iterative algorithms be proved in q-uniformly smooth Banach spaces. The corresponding result of Verma is extended.

关 键 词：一类非线性变分包含组 m-增殖映射 预解算子 松弛共强制映射 迭代算法 

分 类 号：O177.91[理学—数学]