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一类完全广义随机集值非线性隐拟变分不等式OA北大核心CSCDCSTPCD

A class of completely generalized random set-valued nonlinear implicit quasi-variational inequalities

中文摘要英文摘要

作者引入并研究了一类新的完全广义随机集值非线性隐拟变分不等式问题,构造了一些逼近问题解的新的随机迭代算法.在一定条件下,作者证明了这类问题随机解的存在性以及由随机算法所产生的序列的收敛性.

In this paper, the authors introduce and study a class of completely generalized random set-valued nonlinear implicit quasi-variational inequalities, construct new random iterative algorithms. Under some suitable conditions, the authors prove some existence theorems of this class of completely generalized random set-valued nonlinear implicit quasi-variational inequalities and the convergence of random iterative sequences generated by the algorithms.

张超;毕中胜

淮南师范学院数学与计算科学系,淮南232001四川大学数学学院,成都610064

数理科学

随机集值隐拟变分不等式随机迭代算法存在性收敛性

completely generalized random set-valued nonlinear implicit quasi-variational inequalityrandom iterative algorithmexistenceconvergence

《四川大学学报(自然科学版)》 2011 (5)

1007-1012,6

安徽省高校青年教师科研基金(2004jq183)淮南师范学院青年科研基金(2007Lkp06)

10.3969/j.issn.0490-6756.2011.05.007

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