Critical point concepts: a fixed-point approach - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

Critical point concepts: a fixed-point approach

(1, 2)
1
2

Abstract

Inspired by the notion of critical points for DC functions and given two mappings P and Q, we introduce the concept of critical points in the fixed-point context and design and algorithm for finding such points. Connections are then made with the DC optimization case. We show that the proposed Algorithmic approach coincides with the celebrate DCA introduced by Pham Dinh Tao. The case of maximal monotone operators is also stated and investigated via a characterization of their associated resolvents.
Fichier principal
Vignette du fichier
Moudafi2016.pdf (108.53 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01479327 , version 1 (12-01-2022)

Identifiers

  • HAL Id : hal-01479327 , version 1

Cite

Abdellatif Moudafi. Critical point concepts: a fixed-point approach. 2022. ⟨hal-01479327⟩
48 View
4 Download

Share

Gmail Facebook Twitter LinkedIn More