 |
||||||
| Alberto Cambini, Laura Martein and Siegfried Schaible | ||||||
| Key words: | ||||||
| pseudoconvexity, (generalized) Charnes-Cooper transformation, fractional programming, pseudomonotonicity | ||||||
| Mathematices Subject Classification: 26B25, 90C32 | ||||||
|
||||||
| Alberto Cambini, Laura Martein and Siegfried Schaible | ||||||
| Key words: | ||||||
| pseudoconvexity, (generalized) Charnes-Cooper transformation, fractional programming, pseudomonotonicity | ||||||
| Mathematices Subject Classification: 26B25, 90C32 | ||||||
|
||||||||||||||||||||||||||||||||||||||||
| Abstract: | |||
| In [11] Charnes and Cooper reduce a linear fractional program to a linear program with help of a suitable transformation of variables. We show that this transformation and a certain generalization of it preserve pseudoconvexity of an arbitrary once differentiable function. Applications to various nonlinear ratios are given. Also the pseudomonotonicity of certain maps involving the transformation is studied. | |||
| Pseudoconvexity, pseudomonotonicity and the generalized Charnes-Cooper transformation | ||
| Special Issue in Honor of the 65th Birthday of Hiroshi Konno | |||
| Volume 1, Number 2, May 2005, pp. 265-275 | |||