Fenchel’s Duality Theorem for Nearly Convex Functions

R. I. Boţ (), S. M. Grad and G. Wanka
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R. I. Boţ: Chemnitz University of Technology
S. M. Grad: Chemnitz University of Technology
G. Wanka: Chemnitz University of Technology

Journal of Optimization Theory and Applications, 2007, vol. 132, issue 3, No 10, 509-515

Abstract: Abstract We present an extension of Fenchel’s duality theorem by weakening the convexity assumptions to near convexity. These weak hypotheses are automatically fulfilled in the convex case. Moreover, we show by a counterexample that a further extension to closely convex functions is not possible under these hypotheses.

Keywords: Fenchel duality; Conjugate functions; Nearly convex functions (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10957-007-9234-9

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