On a class of vector optimization problems with a variational approach

Authors

  • Maria Bernadette Donato Università degli Studi di Messina
  • Monica Milasi Università degli Studi di Messina
  • Carmela Vitanza Università degli Studi di Messina

DOI:

https://doi.org/10.1478/AAPP.922A2

Keywords:

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

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.

Author Biographies

  • Maria Bernadette Donato, Università degli Studi di Messina
    Dipartimento di Matematica e Informatica
  • Monica Milasi, Università degli Studi di Messina
    Dipartimento di Matematica e Informatica
  • Carmela Vitanza, Università degli Studi di Messina
    Dipartimento di Matematica e Informatica

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Published

2014-12-11

Issue

Vol. 92 No. 2 (2014)

Section

Articles

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