Rated Extremal Principles for Finite and Infinite Systems

Boris S. Mordukhovich; Hung M. Phan

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Rated Extremal Principles for Finite and Infinite Systems

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arxiv 1102.5304 v1 pith:VAOGAJP5 submitted 2011-02-25 math.OC

Boris S. Mordukhovich , Hung M. Phan This is my paper · ORCID

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keywords extremalprinciplesfiniteinfiniteratedsystemsanalysisapplications

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In this paper we introduce new notions of local extremality for finite and infinite systems of closed sets and establish the corresponding extremal principles for them called here rated extremal principles. These developments are in the core geometric theory of variational analysis. We present their applications to calculus and optimality conditions for problems with infinitely many constraints.

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