学术
摘 要:
本文引入并研究了Hilbert空间中的一类广义多值拟变分包含问题．借助预解算子技巧构造了一个新的两步迭代算法来逼近广义多值拟变分包含的解，并且证明了其解的存在性以及迭代算法生成的迭代序列的收敛性．[著者文摘]
文章出处:
《应用数学》-2005年18卷4期 -603-609页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2005）04-0603-07
Two-step Iterative Algorithms for Generalized Multivalued Quasi-Variational Inclusions
LONG Xian-jun（Department of Mathematics, Chongqing Normal University, Chongqing 400047, China）
Abstract:
In this paper.we introduce and study a new class of generalized multivalued quasi-variational inclusions in Hilbert space. By using the implicit resolvent operator technique, we construct a new two-step iterative algorithms for solving the generalized multivalued quasi-variational inclusions. And we prove the existence of solution for this kind of variational inclusions and the convergence of iterative sequences generalized by the algorithms.[著者文摘]
Key words:
Generalized multivalued quasi-variational inclusions ; Two-step iterative algorithms; Implicit resolvent operator; Convergence; Hilbert space
基金资助:
Foundation item：Education Committee project Research Foundation of Chongqing （030801）
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