- 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
- Full Text
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