Aragón Artacho, Francisco Javier, Mordukhovich, Boris S.
Metric regularity and Lipschitzian stability of parametric variational systems
ARAGÓN ARTACHO, Francisco J.; MORDUKHOVICH, Boris S. “Metric regularity and Lipschitzian stability of parametric variational systems”. Nonlinear Analysis: Theory, Methods & Applications. Vol. 72, Issues 3-4 (Febr. 2010). ISSN 0362-546X, pp. 1149-1170
URI: http://hdl.handle.net/10045/29035
DOI: 10.1016/j.na.2009.07.051
ISSN: 0362-546X (Print)
Abstract: 
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.
Keywords:Variational analysis and optimization, Parametric variational systems, Generalized equations and variational inequalities, Metric regularity and subregularity, Lipschitzian stability, Calmness
Elsevier
info:eu-repo/semantics/article