含参变分包含解的Lipschitz连续性

Lipschitz Continuity Analysis for Parametric Variational Inclusions

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.