From Scalar to Vector Equilibrium Problems in the Quasimonotone Case |
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| Authors: | Hadjisavvas N Schaible S |
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| Institution: | (1) Department of Mathematics, University of the Aegean, Samos, Greece;(2) A. G. Anderson Graduate School of Management, University of California, Riverside, California |
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| Abstract: | In a unified approach, existence results for quasimonotone vector equilibrium problems and quasimonotone (multivalued) vector variational inequality problems are derived from an existence result for a scalar equilibrium problem involving two (rather than one) quasimonotone bifunctions. The results in the vector case are not only obtained in a new way, but they are also stronger versions of earlier existence results. |
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| Keywords: | Variational inequalities equilibrium problems vector variational inequalities quasimonotone bifunctions |
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