From Scalar to Vector Equilibrium Problems in the Quasimonotone Case

N. Hadjisavvas and S. Schaible
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N. Hadjisavvas: University of the Aegean
S. Schaible: University of California

Journal of Optimization Theory and Applications, 1998, vol. 96, issue 2, No 3, 297-309

Abstract: 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.

Keywords: Variational inequalities; equilibrium problems; vector variational inequalities; quasimonotone bifunctions (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (23)

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DOI: 10.1023/A:1022666014055

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