Exceptional families of elements, feasibility and complementarity

Authors
Citation
G. Isac, Exceptional families of elements, feasibility and complementarity, J OPTIM TH, 104(3), 2000, pp. 577-588
Citations number
20
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
104
Issue
3
Year of publication
2000
Pages
577 - 588
Database
ISI
SICI code
0022-3239(200003)104:3<577:EFOEFA>2.0.ZU;2-M
Abstract
Feasibility is an important property for a complementarity problem. A compl ementarity problem is solvable if it is feasible and some supplementary ass umptions are satisfied. In this paper, we introduce the notion of (alpha, b eta)-exceptional family of elements for a continuous function and we apply this notion to the study of feasibility of nonlinear complementarity proble ms.