On Generalized Convexity of Nonlinear Complementarity Functions

S. Mohsen Miri () and Sohrab Effati ()
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S. Mohsen Miri: Ferdowsi University of Mashhad
Sohrab Effati: Ferdowsi University of Mashhad

Journal of Optimization Theory and Applications, 2015, vol. 164, issue 2, No 17, 723-730

Abstract: 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.

Keywords: Nonlinear complementarity function; Generalized convexity; Homogeneous function; Nonlinear complementarity problem; 90C33 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10957-014-0553-3

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