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Well‐Posedness of MultiCriteria Network Equilibrium Problem

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  • W. Y. Zhang

Abstract

New notions of ϵ‐equilibrium flow and ξk0‐ϵ‐equilibrium flow of multicriteria network equilibrium problem are introduced; an equivalent relation between vector ϵ‐equilibrium pattern flow and ξk0‐ϵ‐equilibrium flow is established. Then, the well‐posedness of multicriteria network equilibrium problem is discussed.

Suggested Citation

  • W. Y. Zhang, 2014. "Well‐Posedness of MultiCriteria Network Equilibrium Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:507376
    DOI: 10.1155/2014/507376
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    References listed on IDEAS

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    1. Goh, C. J. & Yang, X. Q., 1999. "Vector equilibrium problem and vector optimization," European Journal of Operational Research, Elsevier, vol. 116(3), pages 615-628, August.
    2. X. Q. Yang & C. J. Goh, 1997. "On Vector Variational Inequalities: Application to Vector Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 95(2), pages 431-443, November.
    3. G. Y. Chen & C. J. Goh & X. Q. Yang, 1999. "Vector network equilibrium problems and nonlinear scalarization methods," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 49(2), pages 239-253, April.
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