Lagrange Multipliers for ε-Pareto Solutions in Vector Optimization with Nonsolid Cones in Banach Spaces

M. Durea (), J. Dutta () and C. Tammer ()
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M. Durea: Al. I. Cuza University
J. Dutta: Indian Institute of Technology
C. Tammer: Martin-Luther-University Halle-Wittenberg

Journal of Optimization Theory and Applications, 2010, vol. 145, issue 1, No 12, 196-211

Abstract: Abstract This paper presents some results concerning the existence of the Lagrange multipliers for vector optimization problems in the case where the ordering cone in the codomain has an empty interior. The main tool for deriving our assertions is a scalarization by means of a functional introduced by Hiriart-Urruty (Math. Oper. Res. 4:79–97, 1979) (the so-called oriented distance function). Moreover, we explain some applications of our results to a vector equilibrium problem, to a vector control-approximation problem and to an unconstrainted vector fractional programming problem.

Keywords: Lagrange multipliers; Mordukhovich subdifferential; Proximal subdifferential; Constrained and unconstrained vector optimization (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-009-9609-1

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