On quadratic scalarization of vector optimization problems in Banach spaces

We study vector optimization problems in partially ordered Banach spaces and suppose that the objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone. We discuss the so-called adaptive scalarization of such problems and sho...

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Bibliographic Details
Published in:	Applicable analysis Vol. 93; no. 5; pp. 994 - 1009
Main Authors:	Kogut, Peter I., Manzo, Rosanna
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 04.05.2014 Taylor & Francis Ltd
Subjects:	Approximation Banach space Banach spaces efficient solutions lower semicontinuity Mapping Mathematical analysis Mathematical problems Nonlinearity Optimization Optimization techniques partial-ordered spaces Quadratic programming scalarization approach Scalars Vector space vector-valued optimization Vectors (mathematics)
ISSN:	0003-6811, 1563-504X
Online Access:	Get full text
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