General algorithm of random solutions for random nonlinear variational inequalities in banach Spaces*
作者:
Xie Ping ding,
期刊:
Stochastic Analysis and Applications
(Taylor Available online 1999)
卷期:
Volume 17,
issue 3
页码: 383-394
ISSN:0736-2994
年代: 1999
DOI:10.1080/07362999908809608
出版商: Marcel Dekker, Inc.
关键词: Random Nonlinear Variational Inequality;Random Minimax Inequahty;Random Auxiliary Variational Inequahty;Iterative Algorithm;Banach Space
数据来源: Taylor
摘要:
In this paper, we study a class of random nonlinear variational inequalities in Banach spaces. By applying a random minimax inequahty obtained by Tarafdar and Yuan, some existence uniqueness theorems of random solutions for the random nonhnear variational inequalities are proved. Next, by applying the random auxiliary problem technique, we suggest an innovative iterative algorithm to compute the random approximate solutions of the random nonlinear variational inequahty. Finally, the convergence criteria is also discussed
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