Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type II operators on compact sets

DOI10.2478/s11533-009-0066-8zbMath1200.47082OpenAlexW2031031076MaRDI QIDQ2379257

Kok-Keong Tan, Mohammad S. R. Chowdhury

Publication date: 19 March 2010

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-009-0066-8

zbMATH Keywords

locally convex Hausdorff topological vector spacesgeneralized bi-quasi-variational inequalitiesquasi-pseudomonotone type II operatorsstrongly quasi-pseudo-monotone type II operators

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Set-valued operators (47H04) Existence of solutions for minimax problems (49J35) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Existence theorems of generalized quasi-variational-like inequalities for pseudo-monotone type II operators, Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type I operators on non-compact sets, Generalized bi-quasivariational inequalities for quasi-pseudomonotone type II operators on noncompact sets, GENERALIZED BI-QUASI-VARIATIONAL-LIKE INEQUALITIES ON NON-COMPACT SETS

Cites Work

• Generalized quasivariational inequalities in locally convex topological vector spaces
• Nonlinear variational inequalities and fixed point theorems
• Generalized bi-quasi-variational inequalities
• Generalization of Ky Fan's minimax inequality with applications to generalized variational inequalities for pseudo-monotone operators and fixed point theorems
• Application of upper hemi-continuous operators on generalized bi-quasi-variational inequalities in locally convex topological vector spaces
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