Rated Extremal Principles for Finite and Infinite Systems

Details Rated Extremal Principles for Finite and Infinite Systems Rated Extremal Principles for Finite and Infinite Systems

2011-02-25

arxiv.org/abs/1102.5304v1

Mathematics

Optimization and Control

Scientific paper

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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