Geoffrion proper efficiency in an infinite dimensional space

We present a generalization of Geoffrions proper efficiency in the space of continuous real-valued functions on a compact set T. As an important advantage, our definition keeps the componentwise structure used in the original definition. Further, we investigate the relations between our generalized...

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Bibliographic Details
Published inOptimization Vol. 53; no. 4; pp. 355 - 368
Main Author Winkler, Kristin
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis Group 01.08.2004
Taylor & Francis LLC
Subjects
Efficiency
Geoffrion proper efficiency
Infinite dimensional image space
Mathematical functions
Mathematical models
Mathematics Subject Classification 2000: 90C29
Optimization
Scalarization
Studies
Vector-valued optimization
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ISSN0233-1934
1029-4945
DOI10.1080/02331930412331282409

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Summary:We present a generalization of Geoffrions proper efficiency in the space of continuous real-valued functions on a compact set T. As an important advantage, our definition keeps the componentwise structure used in the original definition. Further, we investigate the relations between our generalized Geoffrion proper efficiency and other types of proper efficiency such as those of Borwein and Benson or points received via linear scalarization.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331930412331282409