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Calmness and Exact Penalization in Vector Optimization under Nonlinear Perturbations

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  • J. Zhai

    (Chongqing University)

  • X. X. Huang

    (Chongqing University)

Abstract

In this paper, we study the relationship between calmness and exact penalization for vector optimization problems under nonlinear perturbations. Some sufficient conditions for the problem calmness are also derived.

Suggested Citation

  • J. Zhai & X. X. Huang, 2014. "Calmness and Exact Penalization in Vector Optimization under Nonlinear Perturbations," Journal of Optimization Theory and Applications, Springer, vol. 162(3), pages 856-872, September.
    • Handle: RePEc:spr:joptap:v:162:y:2014:i:3:d:10.1007_s10957-013-0338-0
    DOI: 10.1007/s10957-013-0338-0
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    References listed on IDEAS

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    1. Frank H. Clarke, 1976. "A New Approach to Lagrange Multipliers," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 165-174, May.
    2. X. X. Huang & X. Q. Yang, 2003. "A Unified Augmented Lagrangian Approach to Duality and Exact Penalization," Mathematics of Operations Research, INFORMS, vol. 28(3), pages 533-552, August.
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    Cited by:

    1. Xin Shen & John E. Mitchell, 2018. "A penalty method for rank minimization problems in symmetric matrices," Computational Optimization and Applications, Springer, vol. 71(2), pages 353-380, November.

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