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

Qu De-ning and Cao-zong Cheng

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:916089

DOI: 10.1155/2013/916089

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