On the E-Epigraph of an E-Convex Function

D. I. Duca and L. Lupşa
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D. I. Duca: Babeş-Bolyai University
L. Lupşa: Babeş-Bolyai University

Journal of Optimization Theory and Applications, 2006, vol. 129, issue 2, No 7, 348 pages

Abstract: Abstract In Ref 1, Yang shows that some of the results obtained in Ref. 2 on E-convex programming are incorrect, but does not prove that the results which make the connection between an E-convex function and its E-epigraph are incorrect. In this note, we show that the results obtained in Ref. 2 concerning the characterization of an E-convex function f in terms of its E-epigraph are incorrect. Afterward, some characterizations of E-convex functions using a different notion of epigraph are given.

Keywords: E-convex sets; E-convex functions; epigraphs; slack 2-convex sets; counterexamples (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-006-9059-y

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