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Existence of solutions for a generalized vector quasivariational inequality

  • G. Y. Chen
  • S. J. Li
Contributed Papers

Abstract

The paper deals with a generalization of a vector quasivariational inequality. An existence theorem for its solutions is established; it is based on a kind of minimax inequality, which is here established for continuous affine mappings and differs from previous results. Fan's section theorem for set-valued mappings is extended. An application for an equilibrium problem of a network with vector-valued cost functions is given.

Key Words

Minimax inequalities generalized vector quasivariational inequalities minimal points maximal points section theorem 

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • G. Y. Chen
    • 1
  • S. J. Li
    • 2
  1. 1.Institute of Systems ScienceAcademia SinicaBeijingChina
  2. 2.Chongqing Architecture and Engineering InstituteChongqingChina

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