DigitalCommons@WayneState

Title

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

Authors

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

Document Type

Technical Report

Abstract

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.

Number in Series

2011.01

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

Mordukhovich, Boris S. and Phan, Hung M., "Tangential Extremal Principles for Finite and Infinite Systems of Sets, I: Basic Theory" (2011). Mathematics Research Reports. 82.
https://digitalcommons.wayne.edu/math_reports/82