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Well posedness in vector optimization problems and vector variational inequalities. (English) Zbl 1119.49025
Summary: We give notions of well posedness for a vector optimization problem and a vector variational inequality of the differential type. First, the basic properties of well-posed vector optimization problems are studied and the case of $C$-quasiconvex problems is explored. Further, we investigate the links between the well posedness of a vector optimization problem and of a vector variational inequality. We show that, under the convexity of the objective function $f$, the two notions coincide. These results extend properties which are well known in scalar optimization.
##### MSC:
 49K40 Sensitivity, stability, well-posedness of optimal solutions 90C29 Multi-objective programming; goal programming 47J20 Inequalities involving nonlinear operators
##### References:
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