Chapter 10

On Classes of Set Optimization Problems which are Reducible to Vector Optimization Problems and its Impact on Numerical Test Instances

Gabriele Eichfelder

Institute for Mathematics, Technische Universit¨at Ilmenau, Po 10 05 65, D-98684 Ilmenau, Germany. Gabriele.Eichfelder@tu-ilmenau.de

Tobias Gerlach

Institute for Mathematics, Technische Universit¨at Ilmenau,Po 10 05 65, D-98684 Ilmenau, Germany. Tobias.Gerlach@tu-ilmenau.de

10.1  Introduction

Set optimization problems can be considered as a significant generalization and unification of scalar and vector optimization problems and have numerous applications in optimal control, operations research, and economics equilibrium (see for instance [2, 13]). Especially set optimization ...

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