Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications

الملخص EN

The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces.

A general nonlinear scalarization function for set-valued mappings is introduced, its main properties are established, and some results on the existence of solutions of the GVQEPs are shown by utilizing the introduced scalarization function.

Finally, a vector variational inclusion problem is discussed as an application of the results of GVQEPs.Erratum to “Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications”dx.doi.org/10.1155/2013/262798