On a class of vector optimization problems with a variational approach

Maria Bernadette Donato, Monica Milasi, Carmela Vitanza


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.


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

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

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