Linear Vector Semi-Infinite Optimization Lower and Upper Semi-Continuity Kuratowski Convergence Well-Posedness Department of Operations Research
Institute of Mathematics with Computer Center at the Bulgarian Academy of Sciences
In the space of whole linear semi-infinite optimization problems we consider the mappings putting into correspondence to each problem the set of efficient and weakly efficient points, respectively. We endow the image space wit Kuratowski convergence and by means of the lower and upper continuity of these mappings we prove generic well-posedness of the vector optimization problems. The connection between the continuity and some properties of the efficient sets is also discussed.