广义集值强非线性混合似变分不等式解的存在性与算法(英文)  

Existence and Algorithm of Solutions for Generalized Set-valued Strongly Nonlinear Mixed Variational-like Inequalities

作　　者：曾六川[1] 

机构地区：[1]上海师范大学数学系,上海200234

出　　处：《工程数学学报》2006年第2期324-332,共9页Chinese Journal of Engineering Mathematics

基　　金：The Shanghai Leading Academic Discipline Project N.T0401;the Dawn Program Foundation in Shanghai.

摘　　要：本文延拓辅助原理的技巧,来研究一类广义集值强非线性混合似变分不等式。首先,利用Ky Fan引理,证明了这类混合似变分不等式的辅助问题解的存存性。其次,利用该存在性结果,给出了解这类混合似变分不等式的迭代算法。最后。既证明了这类混合似变分不等式解的存在性,又证明了由算法生成的迭代序列的收敛性。The auxiliary principle technique is extended to investigate a class of generalized set-valued strongly nonlinear variationa-like inequalities. Firstly, the existence of solutions to the auxiliary problems for this class of mixed variational-like inequalities is shown by virtue of Ky Fan＇s lemma. Secondly, the iterative algorithm for solving this class of mixed variational- like inequalities is given by using this existence result. Finally, not only the existence of solutions of this class of mixed variational-like inequalities is shown, but also the convergence of iterative sequences generated by the algorithm is proven.

关 键 词：混合似变分不等式 辅助原理的技巧 迭代算法 集值映象 存在性 收敛性 

分 类 号：O177.91[理学—数学]