Metric regularity and Lipschitzian stability of parametric variational systems

Title: Metric regularity and Lipschitzian stability of parametric variational systems
Creator: Aragón Artacho, Francisco J.; Mordukhovich, Boris S.
Relation: Nonlinear Analysis: Theory, Methods & Applications Vol. 72, Issue 3-4, p. 1149-1170
Publisher Link: http://dx.doi.org/10.1016/j.na.2009.07.051
Publisher: Elsevier
Resource Type: journal article
Date: 2010
Description: 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.
Subject: variational analysis and optimization; parametric variational systems; generalized equations and variational inequalities; metric regularity and subregularity; Lipschitzian stability; calmness
Identifier: http://hdl.handle.net/1959.13/933739
Identifier: uon:11705
Identifier: ISSN:0362-546X
Language: eng
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