INEQUALITY SYSTEMS AND GLOBAL OPTIMIZATION

Authors
JEYAKUMAR V RUBINOV AM GLOVER BM ISHIZUKA Y
Citation
V. Jeyakumar et al., INEQUALITY SYSTEMS AND GLOBAL OPTIMIZATION, Journal of mathematical analysis and applications, 202(3), 1996, pp. 900-919
Citations number
29
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
202
Issue
3
Year of publication
1996
Pages
900 - 919
Database
ISI
SICI code
0022-247X(1996)202:3<900:ISAGO>2.0.ZU;2-H
Abstract
Solvability results for infinite inequality systems involving convex a nd difference of convex (DC) functions are given. Generalizations of F arkas' lemma are obtained. These results are presented in terms of epi graphs of conjugate functions. Applications are given for characterizi ng global epsilon-optimality (and optimality) of difference of convex (DC) optimization problems with convex inequality constraints. Solvabi lity results for cone convex inequality systems are also given. (C) 19 96 Academic Press, Inc.