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- Title
On Generalized Convexity of Nonlinear Complementarity Functions.
- Authors
Miri, S.; Effati, Sohrab
- 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.
- Subjects
CONVEX domains; NONLINEAR analysis; LINEAR complementarity problem; PSEUDOCONVEX domains; NONDIFFERENTIABLE functions; HOMOGENEOUS polynomials
- Publication
Journal of Optimization Theory & Applications, 2015, Vol 164, Issue 2, p723
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-014-0553-3