Tangential Extremal Principles for Finite and Infinite Systems of Sets, I: Basic Theory

Details Tangential Extremal Principles for Finite and Infinite Systems of Sets, I: Basic Theory Tangential Extremal Principles for Finite and Infinite Systems of Sets, I: Basic Theory

2011-01-21

arxiv.org/abs/1101.4178v1

Mathematics

Optimization and Control

Scientific paper

In this paper we develop new extremal principles in variational analysis that deal with finite and infinite systems of convex and nonconvex sets. The results obtained, unified under the name of tangential extremal principles, combine primal and dual approaches to the study of variational systems being in fact first extremal principles applied to infinite systems of sets. The first part of the paper concerns the basic theory of tangential extremal principles while the second part presents applications to problems of semi-infinite programming and multiobjective optimization.

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