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644. On Fenchel c-conjugate dual problems for DC optimization

Invited abstract in session WA-42: Infinite Optimization: stability and duality, stream Variational Analysis and Continuous Optimization.

Wednesday, 8:30-10:00
Room: 98 (building: 306)

Authors (first author is the speaker)

1. Jose Vidal-Nunez
University of Alcalá
2. Maria Dolores Fajardo
Mathematics, University Of Alicante

Abstract

In this talk we present two Fenchel-type dual problems for a DC (differ-
ence of convex functions) optimization primal problem. These dual problems are built by means of the c-conjugation scheme, a pattern of conjugation which has been shown to be suitable for evenly convex functions. In particular, we study characterizations of weak, strong and stable strong duality for both pairs of primal-dual problems. Finally, we also give conditions which relate the existence of strong and stable strong duality for both pairs.

Keywords

Status: accepted


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