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自反Banach空间一类完全广义集值强非线性混合似变分不等式问题
引用本文:李蒙,孙秋媚.自反Banach空间一类完全广义集值强非线性混合似变分不等式问题[J].军械工程学院学报,2010(5):76-78.
作者姓名:李蒙  孙秋媚
作者单位:军械工程学院基础部,河北石家庄050003
摘    要:研究了一类完全广义集值强非线性混合似变分不等式在自反Banach空间下的问题,借助一个极大极小不等式,证明了这类完全广义集值强非线性混合似变分不等式的解的存在唯一性定理。

关 键 词:存在性  极大极小不等式  集值映象  自反Banach空间

The Question of a Class of Completely Generalized Set-valued Strongly Nonlinear Mixed Variational-Like Inequalities in Banach Space
LI Meng,Sun Qiu-mei.The Question of a Class of Completely Generalized Set-valued Strongly Nonlinear Mixed Variational-Like Inequalities in Banach Space[J].Journal of Ordnance Engineering College,2010(5):76-78.
Authors:LI Meng  Sun Qiu-mei
Institution:(Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 05O003,China)
Abstract:In this paper, a class of the completely generalized set-valued strongly nonlinear mixed variational-like inequalities in reflexive Banach space is studied. By applying a minimax inequalitity,an esxitence uniqueness theorem of solutions for the completely generalized set-valued strongly nonlinear mixed variational-like inequalities is proved.
Keywords:minimax inequality  set-valued mapping  reflexive banach space
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