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 Miri | 1 | 3 | 0.74 |
Effati Sohrab | 2 | 276 | 30.31 |