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On Generalized Convexity of Nonlinear Complementarity Functions

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Listed:
  • S. Mohsen Miri

    (Ferdowsi University of Mashhad)

  • Sohrab Effati

    (Ferdowsi University of Mashhad)

Abstract

In this paper, we study some properties of quasiconvex nonlinear complementarity functions. However, we prove that a nonlinear complementarity function cannot be pseudoconvex. As a consequence of this, we show that every convex nonlinear complementarity function is nondifferentiable. Furthermore, some properties of homogeneous nonlinear complementarity functions are proved.

Suggested Citation

  • S. Mohsen Miri & Sohrab Effati, 2015. "On Generalized Convexity of Nonlinear Complementarity Functions," Journal of Optimization Theory and Applications, Springer, vol. 164(2), pages 723-730, February.
    • Handle: RePEc:spr:joptap:v:164:y:2015:i:2:d:10.1007_s10957-014-0553-3
    DOI: 10.1007/s10957-014-0553-3
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    References listed on IDEAS

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    1. C. Kanzow & N. Yamashita & M. Fukushima, 1997. "New NCP-Functions and Their Properties," Journal of Optimization Theory and Applications, Springer, vol. 94(1), pages 115-135, July.
    2. N. Yamashita, 1998. "Properties of Restricted NCP Functions for Nonlinear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 98(3), pages 701-717, September.
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    Cited by:

    1. S. Mohsen Miri & Sohrab Effati, 2017. "Optimal Control Formulation for Complementarity Dynamical Systems," Journal of Optimization Theory and Applications, Springer, vol. 175(2), pages 356-372, November.

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