Ding, Xie Ping; Tarafdar, E. Generalized variational-like inequalities with pseudomonotone set-valued mappings. (English) Zbl 1013.47026 Arch. Math. 74, No. 4, 302-313 (2000). Summary: In this paper, the authors introduce the concepts of \((\eta,h)\)-pseudo-monotone and \((\eta,h)\)-demi-monotone mappings and prove some existence results of solutions for a new class of generalized variational-like inequalities with pseudo-monotone set-valued mappings defined on noncompact sets in Hausdorff topological vector spaces. Cited in 1 ReviewCited in 19 Documents MSC: 47J20 Variational and other types of inequalities involving nonlinear operators (general) 47H05 Monotone operators and generalizations 47H10 Fixed-point theorems 47H04 Set-valued operators 49J40 Variational inequalities Keywords:pseudomonotone mappings; demi-monotone mappings; existence of solutions; generalized variational-like inequalities; Hausdorff topological vector spaces PDFBibTeX XMLCite \textit{X. P. Ding} and \textit{E. Tarafdar}, Arch. Math. 74, No. 4, 302--313 (2000; Zbl 1013.47026) Full Text: DOI