Applications of pseudo-monotone operators with some kind of upper semicontinuity in generalized quasi-variational inequalities on non-compact sets

DOI10.1090/S0002-9939-98-04436-0zbMath0903.47031OpenAlexW1558977474MaRDI QIDQ4211033

Kok-Keong Tan, Mohammad S. R. Chowdhury

Publication date: 10 September 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04436-0

zbMATH Keywords

locally convex spacepartition of unitylower semi-continuousupper semi-continuousparacompact setsKy Fan's minimax inequalitygeneralized quasi-variational inequalitystrongly pseudo-monotonepseudo-monotone and monotone operators

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Existence of solutions for minimax problems (49J35) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (9)

Topological pseudomonotonicity and vector equilibrium problems ⋮ Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type I operators on non-compact sets ⋮ Generalized symmetric vector quasiequilibrium problems ⋮ Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type I operators on compact sets ⋮ Unnamed Item ⋮ Generalized bi-quasivariational inequalities for quasi-pseudomonotone type II operators on noncompact sets ⋮ Optimal control of problems governed by mixed quasi-equilibrium problems under monotonicity-type conditions with applications ⋮ Generalized quasi-variational inequalities on non-compact sets with pseudo-monotone operators ⋮ GENERALIZED BI-QUASI-VARIATIONAL-LIKE INEQUALITIES ON NON-COMPACT SETS

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