Abstract
The natural quasi-concavity of set-valued mappings in an ordered vector space is introduced. Existence theorems for vector equilibrium problems involving set-valued monotone mappings are obtained and the convexity of the solution set is shown.
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Fu, JY. Vector Equilibrium Problems. Existence Theorems and Convexity of Solution Set. J Glob Optim 31, 109–119 (2005). https://doi.org/10.1007/s10898-004-4274-2
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DOI: https://doi.org/10.1007/s10898-004-4274-2