QUASI-MONOTONE VARIATIONAL-INEQUALITIES IN BANACH-SPACES

Authors
HADJISAVVAS N SCHAIBLE S
Citation
N. Hadjisavvas et S. Schaible, QUASI-MONOTONE VARIATIONAL-INEQUALITIES IN BANACH-SPACES, Journal of optimization theory and applications, 90(1), 1996, pp. 95-111
Citations number
20
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
90
Issue
1
Year of publication
1996
Pages
95 - 111
Database
ISI
SICI code
0022-3239(1996)90:1<95:QVIB>2.0.ZU;2-G
Abstract
Various existence results for variational inequalities in Banach space s are derived, extending some recent results by Cottle and Yao. Genera lized monotonicity as well as continuity assumptions on the operator f are weakened and, in some results, the regularity assumptions on the domain of f are relaxed significantly. The concept of inner point for subsets of Banach spaces proves to be useful.