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In this paper, by using the finite intersection property, we first obtain two types of minimax inequalities for set-valued mappings, which improve and generalize the corresponding results in Ferro (J Optim Theory Appl 60:19–31, 1989) and Li et al. (J Math Anal Appl 281:707–723, 2003). Then, by using the Ky Fan lemma and the Kakutani–Fan–Glicksberg fixed point theorem, we also investigate some Ky Fan...
This paper deals with generalized vector quasi-equilibrium problems. By virtue of a nonlinear scalarization function, the gap functions for two classes of generalized vector quasi-equilibrium problems are obtained. Then, from an existence theorem for a generalized quasi-equilibrium problem and a minimax inequality, existence theorems for two classes of generalized vector quasi-equilibrium problems...
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