Higher-order tangent derivative and its applications to sensitivity analysis. (English) Zbl 1527.90193
Summary: In the paper, we study the higher-order tangent derivative for set-valued maps. More precisely, we first develop its calculus rules. Then, via this derivative, some contributions to sensitivity analysis in set-valued optimization are proposed. Several examples are given to illustrate our results.
MSC:
| 90C29 | Multi-objective and goal programming |
| 90C31 | Sensitivity, stability, parametric optimization |
Keywords:
higher-order tangent derivative; calculus rules; perturbation map; sensitivity analysis; set-valued optimization problemReferences:
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