Title of article
Optimality conditions for approximate solutions of vector optimization problems with variable ordering structures
Author/Authors
Soleimani ، Behnam - Martin-Luther-University Halle-Wittenberg , Tammer ، C. - Martin-Luther-University Halle-Wittenberg
Pages
19
From page
5
To page
23
Abstract
We consider nonconvex vector optimization problems with variable ordering structures in Banach spaces. Under certain boundedness and continuity properties we present necessary conditions for approximate solutions of these problems. Using a generic approach to subdifferentials we derive necessary conditions for approximate minimizers and approximately minimal solutions of vector optimization problems with variable ordering structures applying nonlinear separating functionals and Ekeland #039;s variational principle.
Keywords
Nonconvex vector optimization , variable ordering structure , Ekeland s variational principle , optimality conditions
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2016
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456271
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