Title : ( On Generalized Convexity of Nonlinear Complementarity Functions )
Authors: Seyed Mohsen Miri , Sohrab Effati ,
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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.
Keywords
, Nonlinear complementarity function, Generalized convexity, Homogeneous function, Nonlinear complementarity problem
@article{paperid:1043784,
author = {Miri, Seyed Mohsen and Effati, Sohrab},
title = {On Generalized Convexity of Nonlinear Complementarity Functions},
journal = {Journal of Optimization Theory and Applications},
year = {2014},
volume = {164},
number = {2},
month = {May},
issn = {0022-3239},
pages = {723--730},
numpages = {7},
keywords = {Nonlinear complementarity function; Generalized convexity; Homogeneous function; Nonlinear complementarity problem},
}
%0 Journal Article
%T On Generalized Convexity of Nonlinear Complementarity Functions
%A Miri, Seyed Mohsen
%A Effati, Sohrab
%J Journal of Optimization Theory and Applications
%@ 0022-3239
%D 2014
