Authors
Citation
Yb. Zhao, EXCEPTIONAL FAMILIES AND FINITE-DIMENSIONAL VARIATIONAL-INEQUALITIES OVER POLYHEDRAL CONVEX-SETS, Applied mathematics and computation, 87(2-3), 1997, pp. 111-126
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
00963003
Volume
87
Issue
2-3
Year of publication
1997
Pages
111 - 126
Database
ISI
SICI code
0096-3003(1997)87:2-3<111:EFAFVO>2.0.ZU;2-9
Abstract
A new concept of exceptional family for nonlinear variational inequali
ties over polyhedral sets is introduced in this paper. It generalizes
the concepts for complementarity problem introduced by Smith and Isac.
We applied the new analytical tool to the study of existence problem
for variational inequalities. It is shown that our existence condition
is weaker than most of the sufficient conditions which have been know
n. (C) Elsevier Science Inc., 1997.