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Proper efficiency and vector optimization on a Banach space
D K BHATTACHARYA
Published in INDIAN NAT SCI ACAD
1999
Volume: 30
   
Issue: 4
Pages: 345 - 354
Abstract
Let X0 ⊂ X where X is a real Banach space. Let f: X0 → Yp and g : X0 → Ym, where Y is another Banach space. The paper considers the Vector Maximization Problem (VMP) given by V - Maxx ∈ X′ f(x) where X′ = {x ∈ X, g(x) ≧ 0). It also considers different types of problems associated with (A) and obtains their interrelations with (A). In fact, these interrelations lead to the determination of different types of necessary and (or) sufficient conditions for the existence of solutions of Problem (A). The paper also obtains intrarelations of the associated problems.
About the journal
JournalIndian Journal of Pure and Applied Mathematics
PublisherINDIAN NAT SCI ACAD
ISSN0019-5588