Scalar Lagrange Multiplier Rules for Set-Valued Problems in Infinite-Dimensional Spaces

Luis Rodríguez-Marín and Miguel Sama ()
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Luis Rodríguez-Marín: E.T.S.I.I. Universidad Nacional de Educación a Distancia
Miguel Sama: E.T.S.I.I. Universidad Nacional de Educación a Distancia

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 3, No 8, 683-700

Abstract: Abstract This paper deals with Lagrange multiplier rules for constrained set-valued optimization problems in infinite-dimensional spaces, where the multipliers appear as scalarization functions of the maps instead of the derivatives. These rules provide necessary conditions for weak minimizers under hypotheses of stability, convexity, and directional compactness. Counterexamples show that the hypotheses are minimal.

Keywords: Contingent (epi)derivatives; Lagrange multiplier rules; Set-valued optimization; Vector optimization (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0154-y

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