Optimality conditions for a unified vector optimization problem with not necessarily preordering relations

Fabián Flores-Bazán () and Elvira Hernández ()

Journal of Global Optimization, 2013, vol. 56, issue 2, 299-315

Abstract: This paper studies a general vector optimization problem which encompasses those related to efficiency, weak efficiency, strict efficiency, proper efficiency and approximate efficiency among others involving non necessarily preordering relations. Based on existing results about complete characterization by scalarization of the solution set obtained by the same authors, several properties of (generalized) convexity and lower semicontinuity of the composition of the scalarizing functional and the objective vector function are studied. Finally, some optimality conditions are presented through subdifferentials in the convex and nonconvex case. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Vector optimization; Efficiency; Approximate efficiency; Scalarization; Weak efficiency; Strict efficiency; Optimality conditions; Subdifferential (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-011-9822-y

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