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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Hadjisavvas, N., Schaible, S. From Scalar to Vector Equilibrium Problems in the Quasimonotone Case. Journal of Optimization Theory and Applications 96, 297–309 (1998). https://doi.org/10.1023/A:1022666014055
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DOI: https://doi.org/10.1023/A:1022666014055