On a class of vector optimization problems with a variational approach

Maria Bernadette Donato, Monica Milasi, Carmela Vitanza

Abstract


A class of vector optimization problems is considered. In particular, we reformulate this problem by means of a suitable vector variational inequality, involving the normal cone operator to the adjusted sublevel sets. Finally, this variational approach allows us to obtain the existence of solutions to our vector optimization problem.

Keywords


Generalized vector quasi-variational inequality, generalized convexity, vector problem

Full Text:

PDF


DOI: http://dx.doi.org/10.1478/AAPP.922A2

Copyright (c) 2015 AAPP | Physical, Mathematical, and Natural Sciences