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Vector equilibrium problem and vector optimization

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  • Goh, C. J.
  • Yang, X. Q.

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  • 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.
    • Handle: RePEc:eee:ejores:v:116:y:1999:i:3:p:615-628
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    References listed on IDEAS

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    1. Tung Tung, Chi & Lin Chew, Kim, 1992. "A multicriteria Pareto-optimal path algorithm," European Journal of Operational Research, Elsevier, vol. 62(2), pages 203-209, October.
    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. Goh, C. J. & Yang, X. Q., 1996. "Analytic efficient solution set for multi-criteria quadratic programs," European Journal of Operational Research, Elsevier, vol. 92(1), pages 166-181, July.
    4. Leurent, Fabien, 1993. "Cost versus time equilibrium over a network," European Journal of Operational Research, Elsevier, vol. 71(2), pages 205-221, December.
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    Cited by:

    1. Thai Doan Chuong, 2022. "Approximate solutions in nonsmooth and nonconvex cone constrained vector optimization," Annals of Operations Research, Springer, vol. 311(2), pages 997-1015, April.
    2. Andrea Raith & Judith Wang & Matthias Ehrgott & Stuart Mitchell, 2014. "Solving multi-objective traffic assignment," Annals of Operations Research, Springer, vol. 222(1), pages 483-516, November.
    3. Justo Puerto & Anita Schöbel & Silvia Schwarze, 2008. "The path player game," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(1), pages 1-20, August.
    4. X.Q. Yang & J.C. Yao, 2002. "Gap Functions and Existence of Solutions to Set-Valued Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 115(2), pages 407-417, November.
    5. L. Q. Anh & P. Q. Khanh, 2009. "Hölder Continuity of the Unique Solution to Quasiequilibrium Problems in Metric Spaces," Journal of Optimization Theory and Applications, Springer, vol. 141(1), pages 37-54, April.
    6. Dinh The Luc & Truong Thi Thanh Phuong, 2016. "Equilibrium in Multi-criteria Transportation Networks," Journal of Optimization Theory and Applications, Springer, vol. 169(1), pages 116-147, April.
    7. Xu, Y.D. & Li, S.J. & Teo, K.L., 2012. "Vector network equilibrium problems with capacity constraints of arcs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 567-577.
    8. Nessah, Rabia & Tazdaı¨t, Tarik, 2013. "Absolute optimal solution for a compact and convex game," European Journal of Operational Research, Elsevier, vol. 224(2), pages 353-361.
    9. S. Li & X. Yang & G. Chen, 2006. "A note on vector network equilibrium principles," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(2), pages 327-334, October.
    10. Li, S.J. & Teo, K.L. & Yang, X.Q., 2008. "A remark on a standard and linear vector network equilibrium problem with capacity constraints," European Journal of Operational Research, Elsevier, vol. 184(1), pages 13-23, January.
    11. T. Cheng & S. Li & X. Yang, 2010. "Vector equilibrium flows with nonconvex ordering relations," Journal of Global Optimization, Springer, vol. 46(4), pages 537-542, April.

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