Necessary and Sufficient Conditions for Strong Fenchel–Lagrange Duality via a Coupling Conjugation Scheme

M. D. Fajardo () and J. Vidal ()
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M. D. Fajardo: University of Alicante
J. Vidal: Chemnitz University of Technology

Journal of Optimization Theory and Applications, 2018, vol. 176, issue 1, No 4, 57-73

Abstract: Abstract Given a general primal problem and its Fenchel–Lagrange dual one, which is obtained by using a conjugation scheme based on coupling functions and the perturbational approach, the aim in this work is to establish conditions under which strong duality can be guaranteed. To this purpose, even convexity and properness are a compulsory requirement over the involved functions in the primal problem. Furthermore, two closedness-type regularity conditions and a characterization for strong duality are derived.

Keywords: Evenly convex function; Generalized convex conjugation; Fenchel–Lagrange dual problem; Regularity condition; 52A20; 26B25; 90C25 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-017-1209-x

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