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Title: Kuratowski convergence of the efficient sets in the parametric linear vector semi-infinite optimization
Authors: Todorov, Maxim Ivanov
Keywords: Linear Vector Semi-Infinite Optimization
Lower and Upper Semi-Continuity
Kuratowski Convergence
Department of Operations Research
Issue Date: Nov-1993
Publisher: Institute of Mathematics with Computer Center at the Bulgarian Academy of Sciences
Citation: Preprint
Series/Report no.: 1993;15
Abstract: 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.
Description: [Todorov Maxim Ivanov; Тодоров Максим Иванов]
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