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The $$ {\user1{\mathcal{U}\mathcal{V}}} $$ -Decomposition on a Class of D.C. Functions and Optimality Conditions

The $$ {\user1{\mathcal{U}\mathcal{V}}} $$ -Decomposition on a Class of D.C. Functions and... In this paper, the $$ {\user1{\mathcal{U}\mathcal{V}}} $$ -theory and P-differential calculus are employed to study second-order expansion of a class of D.C. functions and minimization problems. Under certain conditions, some properties of the $$ {\user1{\mathcal{U}}} $$ -Lagrangian, the second-order expansion of this class of functions along some trajectories are formulated. Some first and second order optimality conditions for the class of D.C. optimization problems are given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The $$ {\user1{\mathcal{U}\mathcal{V}}} $$ -Decomposition on a Class of D.C. Functions and Optimality Conditions

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References (6)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-006-0346-z
Publisher site
See Article on Publisher Site

Abstract

In this paper, the $$ {\user1{\mathcal{U}\mathcal{V}}} $$ -theory and P-differential calculus are employed to study second-order expansion of a class of D.C. functions and minimization problems. Under certain conditions, some properties of the $$ {\user1{\mathcal{U}}} $$ -Lagrangian, the second-order expansion of this class of functions along some trajectories are formulated. Some first and second order optimality conditions for the class of D.C. optimization problems are given.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Jan 1, 2006

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