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

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  • De-ning Qu
  • Cao-zong Cheng

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.

Suggested Citation

  • De-ning Qu & Cao-zong Cheng, 2013. "Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, March.
    • Handle: RePEc:hin:jnlaaa:916089
    DOI: 10.1155/2013/916089
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