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Zbl 1137.90663
Yu, Guolin; Liu, Sanyang
Some vector optimization problems in Banach spaces with generalized convexity. (English)
[J] Comput. Math. Appl. 54, No. 11-12, 1403-1410 (2007). ISSN 0898-1221

Summary: 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.
MSC 2000:
*90C29 Multi-objective programming, etc.
90C46 Optimality conditions, duality
90C48 Programming in abstract spaces

Keywords: vector optimization; optimality conditions; generalized convexity; type-I functions; duality

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