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Optimality Conditions and Duality of Three Kinds of Nonlinear Fractional Programming Problems

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  • Xiaomin Zhang
  • Zezhong Wu

Abstract

Some assumptions for the objective functions and constraint functions are given under the conditions of convex and generalized convex, which are based on the -convex, -convex, and -convex. The sufficiency of Kuhn-Tucker optimality conditions and appropriate duality results are proved involving -convex, -convex, and generalized -convex functions.

Suggested Citation

  • Xiaomin Zhang & Zezhong Wu, 2013. "Optimality Conditions and Duality of Three Kinds of Nonlinear Fractional Programming Problems," Advances in Operations Research, Hindawi, vol. 2013, pages 1-9, November.
  • Handle: RePEc:hin:jnlaor:708979
    DOI: 10.1155/2013/708979
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    Cited by:

    1. G. C. Bento & J. X. Cruz Neto & P. A. Soares & A. Soubeyran, 2022. "A new regularization of equilibrium problems on Hadamard manifolds: applications to theories of desires," Annals of Operations Research, Springer, vol. 316(2), pages 1301-1318, September.

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