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Some Existence Results for Vector Quasivariational Inequalities Involving Multifunctions and Applications to Traffic Equilibrium Problems

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Abstract

Some existence results for vector quasivariational inequalities with multifunctions in Banach spaces are derived by employing the KKM-Fan theorem. In particular, we generalize a result by Lin, Yang and Yao, and avoid monotonicity assumptions. We also consider a new quasivariational inequality problem and propose notions of weak and strong equilibria while applying the results to traffic network problems.

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Authors and Affiliations

  1. Department of Mathematics, International University, Vietnam National University, Hochiminh City, Vietnam

    Phan Quoc khanh

  2. Department of Mathematics, University of Dalat, Dalat, Vietnam

    Le Minh luu

Authors
  1. Phan Quoc khanh
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  2. Le Minh luu
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Additional information

This work was partially supported by the program “Optimisation et Mathématiques Ap-pliquées” of C.I.U.F-C.U.D./C.U.I. of Belgium and also by the National Basic Research Program in Natural Sciences of NCSR of Vietnam. The authors are grateful to the anonymous referees for many valuable remarks, which have helped to improve the previous manuscript of the paper

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khanh, P.Q., luu, L.M. Some Existence Results for Vector Quasivariational Inequalities Involving Multifunctions and Applications to Traffic Equilibrium Problems. J Glob Optim 32, 551–568 (2005). https://doi.org/10.1007/s10898-004-2693-8

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  • DOI: https://doi.org/10.1007/s10898-004-2693-8

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