Gap functions and existence of solutions to generalized vector quasi-equilibrium problems. (English) Zbl 1090.49014

Summary: 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 are established.


49J40 Variational inequalities
Full Text: DOI


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