3 papers
math.OC2021
Reduction of Exhausters by Set Order Relations and Cones
Mustafa Soyertem, İlknur Atasever Güvenç, Didem Tozkan
The notions of upper and lower exhausters are effective tools for the study of non smooth functions. There are many studies presenting optimality conditions for unconstrained and c…
math.OC2020
On Reduction of Exhausters via a Support Function Representation
Didem Tozkan
Exhausters are families of compact, convex sets which provide minmax or maxmin representations of positively homogeneous functions and they are efficient tools for the study of non…
math.OC2017
A Vectorization for Nonconvex Set-valued Optimization
Emrah Karaman, İlknur Atasever Güvenç, Mustafa Soyertem +3
Vectorization is a technique that replaces a set-valued optimization problem with a vector optimization problem. In this work, by using an extension of Gerstewitz function [1], a v…