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集值或单值增算子变分不等式的有限维近似
引用本文:任一强.集值或单值增算子变分不等式的有限维近似[J].高校应用数学学报(A辑),1999,14(3):307-314.
作者姓名:任一强
作者单位:扬州大学数学系
摘    要:将非线性变分不等式的有限维近似理论用来处理带集值增算子的变分不等式,得到近似解的存在性及收敛性定理。对一种特殊的单值情形,给出了收敛性理论及误差估计。

关 键 词:集值增算子  变分不等式  有限维近似

FINITE DIMENSIONAL APPROXIMATION FOR VARIATIONAL INEQUALITIES WITH MULTI-VALUED AND SINGLE-VALUED ACCRETIVE OPERATORS
Ren Yiqiang.FINITE DIMENSIONAL APPROXIMATION FOR VARIATIONAL INEQUALITIES WITH MULTI-VALUED AND SINGLE-VALUED ACCRETIVE OPERATORS[J].Applied Mathematics A Journal of Chinese Universities,1999,14(3):307-314.
Authors:Ren Yiqiang
Abstract:A finite dimensional approximate theorem for nonlinear variational inequalities is extended to multi valued accretive operators. For the special single valued case, the existence of solution and convergence of approximate solutions and error estimate are given.
Keywords:Multi valued Accretive Operators  Variational Inequality  Finite    Dimensional Approximation  
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