Article ID: | iaor201526251 |
Volume: | 9 |
Issue: | 5 |
Start Page Number: | 1017 |
End Page Number: | 1023 |
Publication Date: | Jun 2015 |
Journal: | Optimization Letters |
Authors: | Martnez-Legaz Juan |
Keywords: | programming: convex |
We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex sets defined by non necessarily convex functions, in terms of tangential subdifferentials. Our main result unifies a recent KKT type theorem obtained by Lasserre for differentiable functions with a nonsmooth version due to Dutta and Lalitha.