Article ID: | iaor20061830 |
Country: | Netherlands |
Volume: | 164 |
Issue: | 1 |
Start Page Number: | 115 |
End Page Number: | 119 |
Publication Date: | Jul 2005 |
Journal: | European Journal of Operational Research |
Authors: | Teo K.L., Yang X.Q., Yang X.M. |
In this paper, under appropriate conditions, we establish that (i) if the gradient of a function is (strictly) pseudo-monotone, then the function is (strictly) pseudo-invex; (ii) if the gradient of a function is quasi-monotone, then the function is quasi-invex; and (iii) if the gradient of a function is strong pseudo-monotone, then the function is strong pseudo-invex.