Existence Results for Generalized Vector Equilibrium Problems on Unbounded Sets

Elisabetta Allevi, Igor Konnov, Marco Rocco

Abstract

We provide existence results for generalized (set-valued)  vector
equilibrium problems on unbounded sets, based on a coercivity
condition recently proposed for the scalar and vector cases. Several
formulations of the generalized vector equilibrium problem are taken
into account, thus covering most cases considered in the literature.

Keywords

Generalized vector equilibrium problems, set-valued bifunctions, coercivity condition, existence results

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