4 papers
Inexact Limited Memory Bundle Method
Jenni Lampainen, Kaisa Joki, Napsu Karmitsa +1
Large-scale nonsmooth optimization problems arise in many real-world applications, but obtaining exact function and subgradient values for these problems may be computationally exp…
KKT conditions for optimization with generalized invex fuzzy functions
Ville Rinne, Yury Nikulin, Marko M. Mäkelä
This paper explores optimality conditions in optimization problems involving generalized invex fuzzy functions. We extend the classical KKT framework to settings in which the objec…
A truncated epsilon-subdifferential method for global DC optimization
Adil M. Bagirov, Kaisa Joki, Marko M. Makela +1
We consider the difference of convex (DC) optimization problem subject to box constraints. Utilizing epsilon-subdifferentials of DC components of the objective, we develop a new me…
On invex functions with same η in single and multivalued nonsmooth optimization with Clarke's subdifferential
Ville Rinne, Yury Nikulin, Marko Mäkelä
In this paper, a finite family of nonsmooth locally Lipschitz continuous functions that are invex with respect to the same function η are characterized in terms of their scalarize…