Existence of solutions for unilateral problems with multivalued operators.
Oppezzi, Pirro, Rossi, Anna Maria (1995)
Journal of Convex Analysis
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Oppezzi, Pirro, Rossi, Anna Maria (1995)
Journal of Convex Analysis
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Emil Ernst, Michel Théra (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we show that a linear variational inequality over an infinite dimensional real Hilbert space admits solutions for every nonempty bounded closed and convex set, if and only if the linear operator involved in the variational inequality is pseudo-monotone in the sense of Brezis.
Rüdiger Landes, Vesa Mustonen (1980)
Mathematische Annalen
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Chowdhury, Mohammad S.R., Cho, Yeol Je (2010)
Journal of Inequalities and Applications [electronic only]
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Mohammad Chowdhury, Kok-Keong Tan (2010)
Open Mathematics
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In this paper, the authors prove some existence results of solutions for a new class of generalized bi-quasi-variational inequalities (GBQVI) for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators defined on compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GBQVI for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators, we shall use Chowdhury and Tan’s generalized version [3]...
Ram U. Verma (1998)
Commentationes Mathematicae Universitatis Carolinae
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The solvability of a class of monotone nonlinear variational inequality problems in a reflexive Banach space setting is presented.
Crespi, Giovanni P., Rocca, Matteo (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Fulina, Silvia (2006)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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R. E. Smithson (1972)
Colloquium Mathematicae
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