Fabián Flores-Bazán, Elvira Hernández:
A unified vector optimization problem: complete scalarizations and applications
The aim of this paper is to introduce and analyse a general vector optimization problem in a unified framework. Using a well-known nonlinear scalarizing function defined by a solid set, we present complete scalarizations of the solution set to the vector problem without any convexity assumptions. As applications of our results we obtain new optimality conditions for several classical optimization problems by characterizing their solution set.
This preprint gave rise to the following definitive publication(s):
Fabián FLORES-BAZáN, Elvira HERNáNDEZ: A unified vector optimization problem: complete scalarizations and applications. Journal of Global Optimization, vol. 56, 2, pp. 299-315, (2013).