含参变分包含解的Lipschitz连续性  

Lipschitz Continuity Analysis for Parametric Variational Inclusions

作　　者：屈竹芳 

机构地区：[1]延安市宝塔区第四中学

出　　处：《延安大学学报（自然科学版）》2009年第1期3-5,10,共4页Journal of Yan'an University：Natural Science Edition

摘　　要：利用H-单调算子的预解算子技巧,在Hilbert空间中,研究一类新的含H-单调算子的含参分包含问题,证明了这类含参变分包含解的存在唯一性,又进一步分析了这类含参变分包含解的Lipschitz连续性问题。A new class of parametric variational inclusion was introduced involving H-monotone operator in Hilbert spaces. By using the resolvent operator technique for H- monotone operator, the existence and uniqueness theorems of solutions were proved. Finally, the Lipschitz continuity for this class of parametric variational inclusions was also analyzed.

关 键 词：H-单调算子 预解算子 含参变分包含 LIPSCHITZ连续性 

分 类 号：O177.91[理学—数学]