Authors
Citation
Bm. Glover et al., SOLVABILITY THEOREMS INVOLVING INF-CONVEX FUNCTIONS, Journal of mathematical analysis and applications, 191(2), 1995, pp. 305-330
Citations number
27
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
ISSN journal
0022247X
Volume
191
Issue
2
Year of publication
1995
Pages
305 - 330
Database
ISI
SICI code
0022-247X(1995)191:2<305:STIIF>2.0.ZU;2-U
Abstract
This paper presents a unified theory on solvability of certain general
systems of inequalities involving functions expressible as the pointw
ise infimum of convex functions. The approach used to develop these so
lvability theorems relies on Minkowski duality. Extensions of Farkas'
lemma and other solvability theorems are developed, both with and with
out a regularity condition, with applications to optimization. (C) 199
5 Academic Press, Inc.