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Journal of Global Optimization

, Volume 36, Issue 4, pp 627–635 | Cite as

The Study of the System of Generalized Vector Quasi-equilibrium Problems

Original Paper

Abstract

In this paper, we study the system of generalized vector quasi-equilibrium problems, which includes as special cases the system of vector quasi-equilibrium problems and the system of generalized vector equilibrium problems, and establish the existence and essential components of the solution set under perturbations of its best-reply map. Moreover, we also derive a new existence theorem of Ky Fan’s points for a set-valued map.

Keywords

The system of generalized vector quasi-equilibrium problems Best-reply map Upper C-semicontinuous C-quasiconvex-pseudo Essential component 

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Copyright information

© Springer Science+Business Media B.V. 2006

Authors and Affiliations

  1. 1.School of Information ScienceGuizhou College of Finance and EconomicsGuiyangP.R. China

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