On Fenchel c -conjugate dual problems for DC optimization: characterizing weak, strong and stable strong duality
Year: 2023
Type: article
Abstract: In this paper we present two Fenchel-type dual problems for a DC (difference of convex functions) optimization primal one. They have been built by means of the c-conjugation scheme, a pattern of conjugation which has been shown to be suitable for evenly convex functions. We study characterizations of weak, strong and stable strong duality for both pairs of primal–dual problems. We also give conditions which relate the existence of strong and stable strong duality for both pairs.
Source: Optimization
Authors: M. D. Fajardo, J. Vidal
Institutions: University of Alicante, Universidad de Alcalá
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4383046703