DigitalCommons@WayneState

Title

Rated Extremal Principles for Finite and Infinite Systems

Authors

Hung M. Phan, Wayne State UniversityFollow
Boris S. Mordukhovich, Wayne State UniversityFollow

Document Type

Technical Report

Abstract

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.

Number in Series

2011.05

Disciplines

Applied Mathematics | Mathematics

AMS Subject Classification

Primary: 49J52, 49J53; Secondary: 90C30

Comments

This research was partially supported by the US National Science Foundation under grants DMS-0603846 and DMS-1007132 and by the Australian Research Council under grant DP-12092508.

Recommended Citation

Phan, Hung M. and Mordukhovich, Boris S., "Rated Extremal Principles for Finite and Infinite Systems" (2011). Mathematics Research Reports. 86.
https://digitalcommons.wayne.edu/math_reports/86