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On Generalized Convexity of Nonlinear Complementarity Functions

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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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

    S. Mohsen Miri & Sohrab Effati

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  1. S. Mohsen Miri
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  2. Sohrab Effati
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Correspondence to S. Mohsen Miri.

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Miri, S.M., Effati, S. On Generalized Convexity of Nonlinear Complementarity Functions. J Optim Theory Appl 164, 723–730 (2015). https://doi.org/10.1007/s10957-014-0553-3

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  • DOI: https://doi.org/10.1007/s10957-014-0553-3

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