Tangential extremal principles for finite and infinite systems of sets II: applications to semi-infinite and multiobjective optimization

This paper contains selected applications of the new tangential extremal principles and related results developed in Mordukhovich and Phan (Math Program 2011 ) to calculus rules for infinite intersections of sets and optimality conditions for problems of semi-infinite programming and multiobjective...

Full description

Saved in:

Bibliographic Details
Published in:	Mathematical programming Vol. 136; no. 1; pp. 31 - 63
Main Authors:	Mordukhovich, Boris S., Phan, Hung M.
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.12.2012 Springer Springer Nature B.V
Subjects:	Applied sciences Calculus Calculus of variations and optimal control Calculus of Variations and Optimal Control; Optimization Combinatorics Convex analysis Decision theory. Utility theory Exact sciences and technology Full Length Paper Intersections Mathematical analysis Mathematical and Computational Physics Mathematical functions Mathematical Methods in Physics Mathematical programming Mathematics Mathematics and Statistics Mathematics of Computing Numerical Analysis Operational research and scientific management Operational research. Management science Optimization Principles Programming Sciences and techniques of general use Studies Theoretical Variational analysis Semi-infinite programming 49J53 Multiobjective optimization Qualification conditions Extremal principles Tangent and normal cones Secondary 90C30 Generalized differentiation Primary 49J52 Intersection Cone Existence theorem Multiobjective programming Semi infinite programming Non linear programming 49J53; Secondary 90C30 Infinite system Constrained optimization Extremum problem Qualification Nonsmooth analysis Variational calculus Optimality condition Optimality criterion Mathematical programming
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!