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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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
Online AccessGet full text
ISSN0233-1934
1029-4945
DOI10.1080/02331930412331282409

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Abstract 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.
AbstractList 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.
We present a generalization of Geoffrions proper efficiency in the space C(T) 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. [PUBLICATION ABSTRACT]
Author Winkler, Kristin
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crossref_primary_10_1051_ro_2023019
crossref_primary_10_1080_02331934_2017_1289528
crossref_primary_10_1007_s10957_014_0608_5
crossref_primary_10_1287_moor_2016_0796
Cites_doi 10.1137/0115028
10.1016/0022-247X(68)90201-1
10.1007/BF01415907
10.1137/0315004
10.1016/0022-247X(79)90226-9
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Snippet 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...
We present a generalization of Geoffrions proper efficiency in the space C(T) of continuous real-valued functions on a compact set T. As an important...
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StartPage 355
SubjectTerms Efficiency
Geoffrion proper efficiency
Infinite dimensional image space
Mathematical functions
Mathematical models
Mathematics Subject Classification 2000: 90C29
Optimization
Scalarization
Studies
Vector-valued optimization
Title Geoffrion proper efficiency in an infinite dimensional space
URI https://www.tandfonline.com/doi/abs/10.1080/02331930412331282409
https://www.proquest.com/docview/219437725
Volume 53
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