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随机广义集值隐变分不等式
RANDOM GENERALIZED SETVALUED IMPLICIT VARIATIONAL INEQUALITIES
【摘要】 引入并研究一类新的随机广义集值隐变分不等式,讨论这类随机广义集值隐变分不等式解的存在性以及由算法所产生的选代序列的收敛性.本文所得结果改进和发展了Noor等人近期的一些重要结果,即使在确定型的情形下也包含了这些结果作为特例.
【Abstract】 n this paper, we introduce and study a kind of new random generalized setvalued implicit variational inequality. We prove the existence of the random solutions for the random generalized setvalued implicit variational inequality and convergence of the random sequences generalized by the algorithm. The results presented in this paper improve and develop some important results of [7 ̄10].
【关键词】 随机广义集值隐变分不等式;
凸集;
随机映象;
随机解;
算法;
【Key words】 random generalized setvalued implicit variational inequality; convex set; random mapping; random solution; algorithm;
【Key words】 random generalized setvalued implicit variational inequality; convex set; random mapping; random solution; algorithm;
【基金】 国家自然科学基金
- 【文献出处】 辽宁师范大学学报(自然科学版) ,JOURNAL OF LIAONING NORMAL UNIVERSITY(NATURAL SCIENCE EDITION) , 编辑部邮箱 ,1995年02期
- 【分类号】O177.91
- 【被引频次】2
- 【下载频次】54