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Boundedness of certain sets of Lagrange multipliers in vector optimization

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  • Nath, Triloki
  • Singh, S.R.

Abstract

In this paper, we establish Lagrange multiplier rules in terms of Michel–Penot subdifferential for nonsmooth vector optimization problem. A constraint qualification or regularity condition in terms of Michel–Penot subdifferential is given and under this regularity condition the boundedness of certain sets of Lagrange multipliers are discussed.

Suggested Citation

  • Nath, Triloki & Singh, S.R., 2015. "Boundedness of certain sets of Lagrange multipliers in vector optimization," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 429-435.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:429-435
    DOI: 10.1016/j.amc.2015.05.112
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    References listed on IDEAS

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    1. John R. Birge & Liqun Qi, 1993. "Semiregularity and Generalized Subdifferentials with Applications to Optimization," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 982-1005, November.
    2. A. D. Ioffe, 1984. "Necessary Conditions in Nonsmooth Optimization," Mathematics of Operations Research, INFORMS, vol. 9(2), pages 159-189, May.
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