Set-valued quasi variational inclusions

被引：8
作者：
Muhammad Aslam Noor
机构：
[1] Dalhousie University,Department of Mathematics & Statistics
来源：
Korean Journal of Computational and Applied Mathematics | 2000年 / 7卷 / 1期
关键词：
49J40; 90C30; Variational inclusions; resolvent operators; iterative algorithms; convergence criteria;
D O I：
10.1007/BF03009930
中图分类号：
学科分类号：
摘要：
In this paper, we introduce and study a new class of variational inclusions, called the set-valued quasi variational inclusions. The resolvent operator technique is used to establish the equivalence between the set-valued quasi variational inclusions and the fixed point problem. This equivalence is used to study the existence of a solution and to suggest a number of iterative algorithms for solving the set-valued variational inclusions. We also study the convergence criteria of these algorithms.
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页码：101 / 113
页数：12
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