Title
On Generalized Convexity of Nonlinear Complementarity Functions
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.
Year
DOI
Venue
2015
10.1007/s10957-014-0553-3
J. Optimization Theory and Applications
Keywords
Field
DocType
generalized convexity,nonlinear complementarity problem,nonlinear complementarity function,90c33,homogeneous function
Mathematical optimization,Convexity,Homogeneous function,Mathematical analysis,Quasiconvex function,Complementarity theory,Regular polygon,Nonlinear complementarity,Mixed complementarity problem,Mathematics,Nonlinear complementarity problem
Journal
Volume
Issue
ISSN
164
2
1573-2878
Citations 
PageRank 
References 
3
0.40
7
Authors
2
Name
Order
Citations
PageRank
S. Mohsen Miri130.74
Effati Sohrab227630.31