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Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints

Author

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  • Y N Wu

    (Chongqing Normal University)

  • T C E Cheng

    (Hong Kong Polytechnic University)

Abstract

In this paper, we consider weak efficiency in vector optimization problems with equilibrium constraints. We obtain results on the convergence of the marginal map, the value, and the solution sets.

Suggested Citation

  • Y N Wu & T C E Cheng, 2005. "Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints," Journal of Optimization Theory and Applications, Springer, vol. 125(2), pages 453-472, May.
    • Handle: RePEc:spr:joptap:v:125:y:2005:i:2:d:10.1007_s10957-004-1860-x
    DOI: 10.1007/s10957-004-1860-x
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    References listed on IDEAS

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    1. G. Y. Chen & X. X. Huang, 1998. "Stability results for Ekeland's ε variational principle for vector valued functions," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 48(1), pages 97-103, September.
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    Cited by:

    1. Yu Han & Nan-jing Huang, 2018. "Continuity and Convexity of a Nonlinear Scalarizing Function in Set Optimization Problems with Applications," Journal of Optimization Theory and Applications, Springer, vol. 177(3), pages 679-695, June.
    2. M. B. Lignola & J. Morgan, 2007. "On Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints," Journal of Optimization Theory and Applications, Springer, vol. 133(1), pages 117-121, April.
    3. M. Lignola & Jacqueline Morgan, 2012. "Approximate values for mathematical programs with variational inequality constraints," Computational Optimization and Applications, Springer, vol. 53(2), pages 485-503, October.

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