摘要
本文在自反Ｂａｎａｃｈ空间内研究了一类混合非线性似变分不等式·应用作者得到的一个极小极大不等式，对这类混合非线性似变分不等式的解，证明了几个存在唯一性定理·其次由应用辅助问题技巧，作者建议了一个计算此类混合非线性似变分不等式的近似解的创新算法·最后讨论收敛性准则·
n this paper, the author studies a class of mixed nonlinear variational_like inequalities in reflexive Banach space. By applying a minimax inequality obtained by the author, some existence uniqueness theorems of solutions for the mixed nonlinear variational_like inequalities are proved. Next, by applying the auxiliary problem technique, the author suggests an innovative iterative algorithm to compute the approximate solutions of the mixed nonlinear variational_like inequalities. Finally, the convergence criteria is also discussed.
出处
《应用数学和力学》
CSCD
北大核心
1998年第6期489-496,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金
关键词
非线性
似变分不等式
巴拿赫空间
解
算法
mixed nonlinear variational_like inequality, minimax inequality, auxiliary variational inequality, general algorithm, reflexive Banach space
