Behnam Soleimani, Christiane Tammer, A vector-valued Ekeland’s variational principle in vector optimization with variable ordering structures
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Volume 1, Issue 1, 1 April 2017, Pages 89-110
Abstract. In this paper, we are dealing with Ekeland’s variational principle for vector optimization problems with variable ordering structures. Many generalizations of Ekeland’s variational principle for vector optimization problems with fixed ordering structures are given in recent books and papers. Recently, certain variational principles for approximate solutions of vector optimization problems with variable ordering structures are derived in the literature. Here, using nonlinear scalarization techniques, we give some new generalizations of Ekeland’s variational principle for approximate minimizers and nondominated solutions of vector optimization problems with variable ordering structures. These generalizations can be used for deriving necessary conditions for approximate solutions of vector optimization problems with variable ordering structures.
How to Cite this Article:
Behnam Soleimani, Christiane Tammer, A vector-valued Ekeland’s variational principle in vector optimization with variable ordering structures, J. Nonlinear Var. Anal. 1 (2017), 89-110.