Reference : Metric regularity and Lipschitzian stability of parametric variational systems
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/10892
Metric regularity and Lipschitzian stability of parametric variational systems
English
Aragón Artacho, Francisco Javier mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Mordukhovich, B. S. [> >]
2010
Nonlinear Analysis: Theory, Methods & Applications
72
3-4
1149-1170
Yes
International
0362-546X
[en] generalized equation ; metric regularity ; parametric variational systems
[en] 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.
Luxembourg Centre for Systems Biomedicine (LCSB): Systems Biochemistry (Fleming Group)
http://hdl.handle.net/10993/10892
10.1016/j.na.2009.07.051
http://www.scopus.com/inward/record.url?eid=2-s2.0-71549158806&partnerID=40&md5=eb3ba462304b0964b1e547e92d14727b

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