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Univex Interval‐Valued Mapping with Differentiability and Its Application in Nonlinear Programming

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  • Lifeng Li
  • Sanyang Liu
  • Jianke Zhang

Abstract

Interval‐valued univex functions are introduced for differentiable programming problems. Optimality and duality results are derived for a class of generalized convex optimization problems with interval‐valued univex functions.

Suggested Citation

  • Lifeng Li & Sanyang Liu & Jianke Zhang, 2013. "Univex Interval‐Valued Mapping with Differentiability and Its Application in Nonlinear Programming," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
  • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:383692
    DOI: 10.1155/2013/383692
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    References listed on IDEAS

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    1. Chanas, Stefan & Kuchta, Dorota, 1996. "Multiobjective programming in optimization of interval objective functions -- A generalized approach," European Journal of Operational Research, Elsevier, vol. 94(3), pages 594-598, November.
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