Optimality conditions for approximate solutions of vector optimization problems with variable ordering structures

Document Type: ORO2013

Authors

Institute of Mathematics‎, ‎Martin-Luther-University Halle-Wittenberg‎, ‎Theodor-Lieser Str‎. ‎5‎, ‎06120 Halle‎, ‎Germany.

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's variational principle‎. 

Keywords

Main Subjects


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