Journal of Inequalities and Applications 
Volume 2 (1998), Issue 1, Pages 71-87
doi:10.1155/S1025583498000046

Generalized variational inequalities of the Hartman–Stampacchia–Browder type

Sehie Park1 and Ming-Po Chen2

 1Department of Mathematics, Seoul National University, Seoul 151;742, Korea
2Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529, Taiwan
Received 11 December 1996

Abstract

We obtain several generalized variational inequalities from an equilibrium theorem due to the first author under more weaker hypothesis and in more general setting than known ones. Our new results extend, unify and improve many known Hartman–Stampacchia–Browder type variational inequalities for u.s.c. or monotone type multimaps. Our proofs are also much simpler than known ones.