Metric regularity and Lipschitzian stability of parametric variational systems
Metric regularity and Lipschitzian stability of parametric variational systems
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DOI：
10.1016/j.na.2009.07.051
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发表时间：
2010-02
影响因子：
1.4
通讯作者：
F. J. A. Artacho;B. Mordukhovich
中科院分区：
文献类型：
--
作者：
F. J. A. Artacho;B. Mordukhovich
本文研究由参数化广义方程/变分条件描述的变分系统，这些条件对非线性分析、优化及其应用的许多方面都很重要。基于度量正则性和Lipschitzian稳定性的基本性质，我们在任意的决策变量和参数变量的Banach空间框架下，建立了参数广义方程多值部分/域的这些性质与相应的解映射之间的各种定性和定量关系。
The paper concerns the study of variational systems described by parameterized generalized equations/variational conditions important for many aspects of nonlinear analysis, optimization, and their applications. Focusing on the fundamental properties of metric regularity and Lipschitzian stability, we establish various qualitative and quantitative relationships between these properties for multivalued parts/fields of parametric generalized equations and the corresponding solution maps for them in the framework of arbitrary Banach spaces of decision and parameter variables.