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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Bibliographic Details
Published in:Computers & mathematics with applications (1987) Vol. 54; no. 11; pp. 1403 - 1410
Main Authors: Yu, Guolin, Liu, Sanyang
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.12.2007
Subjects:
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
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-2
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content type line 23
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2007.05.002