Some vector optimization problems in Banach spaces with generalized convexity

In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. New classes of generalized type-I functions are introduced for functions between Banach spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality con...

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Veröffentlicht in:Computers & mathematics with applications (1987) Jg. 54; H. 11; S. 1403 - 1410
Hauptverfasser: Yu, Guolin, Liu, Sanyang
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Ltd 01.12.2007
Schlagworte:
Banach space
Convexity
Duality
Generalized convexity
Mathematical analysis
Mathematical models
Optimality conditions
Optimization
Type-I functions
Vector optimization
Vectors (mathematics)
Optimality conditions
Duality
Type-I functions
Vector optimization
Generalized convexity
ISSN:0898-1221, 1873-7668
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Zusammenfassung:In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. New classes of generalized type-I functions are introduced for functions between Banach spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality conditions and prove some results on duality.
Bibliographie:ObjectType-Article-2
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ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2007.05.002