3 papers
math.OC2011
Rated Extremal Principles for Finite and Infinite Systems
Boris S. Mordukhovich, Hung M. Phan
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…
math.OC2011
Tangential Extremal Principles for Finite and Infinite Systems of Sets, I: Basic Theory
Boris S. Mordukhovich, Hung M. Phan
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 unde…
math.OC2011
Tangential Extremal Principles for Finite and Infinite Systems of Sets, II: Applications to Semi-infinite and Multiobjective Optimization
Boris S. Mordukhovich, Hung M. Phan
This paper contains selected applications of the new tangential extremal principles and related results developed in Part I to calculus rules for infinite intersections of sets and…