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

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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.

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Authors and Affiliations

  1. School of Information Science, Guizhou College of Finance and Economics, 276 Lu Chong Guan Road, Guiyang, Guizhou, 550004, P.R. China

    Zhi Lin

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  1. Zhi Lin
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Correspondence to Zhi Lin.

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Lin, Z. The Study of the System of Generalized Vector Quasi-equilibrium Problems. J Glob Optim 36, 627–635 (2006). https://doi.org/10.1007/s10898-006-9031-2

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  • DOI: https://doi.org/10.1007/s10898-006-9031-2

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