Generalized variational-like inequalities with pseudomonotone set-valued mappings

Citation
Xp. Ding et E. Tarafdar, Generalized variational-like inequalities with pseudomonotone set-valued mappings, ARCH MATH, 74(4), 2000, pp. 302-313
Citations number
39
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
74
Issue
4
Year of publication
2000
Pages
302 - 313
Database
ISI
SICI code
0003-889X(20000403)74:4<302:GVIWPS>2.0.ZU;2-J
Abstract
In this paper, authors introduce the concepts of (eta, h)-pseudo-monotone a nd (eta, h)-demi-monotone mappings and prove some existence results of solu tions for a new class of generalized variational-like inequalities with pse udo-monotone set-valued mappings defined on noncompact sets in Hausdorff to pological vector spaces.