Background
Type: Article

Equilibrium problems in the quasimonotone case

Journal: Journal of Optimization Theory and Applications (223239)Year: 2005Volume: Issue: 1Pages: 125 - 136
Fakhar M.a Zafarani J.
DOI:10.1007/s10957-005-2664-3Language: English

Abstract

Existence results for quasimonotone vector equilibrium problems and quasimonotone vector variational inequalities are obtained starting from an existence result for a scalar equilibrium problem involving two quasimonotone bifunctions. These results are established under weaker conditions than in previous works. © 2005 Springer Science+Business Media, Inc.


Author Keywords

Equilibrium problemsKKM mapsQuasimonotone vector-valued bifunctionsVariational inequalities

Other Keywords

BifunctionsConditionEquilibrium problemExistence resultsKKM mapsQuasimonotone vector-valued bifunctionVariational inequalitiesVector equilibrium problemVector valuedVector variational inequalitiesVariational techniques