DigitalCommons@WayneState

Title

Tangential Extremal Principles for Finite and Infinite Systems of Sets, II: Applications to Semi-Infinite and Multiobjective Optimization

Authors

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

Document Type

Technical Report

Abstract

This paper contains selected applications of the new tangential extremal principles and related results developed in [20] to calculus rules for infinite intersections of sets and optimality conditions for problems of semi-infinite programming and multiobjective optimization with countable constraints.

Number in Series

2011.02

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, II: Applications to Semi-Infinite and Multiobjective Optimization" (2011). Mathematics Research Reports. 83.
https://digitalcommons.wayne.edu/math_reports/83