Dataciencia

Colección SciELO Chile

Proximal point type algorithms with relaxed and inertial effects beyond convexity

Indexado

WoS	WOS:001188076400001
Scopus	SCOPUS_ID:85188591549

DOI

10.1080/02331934.2024.2329779

Año

2024

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

We show that the recent relaxed-inertial proximal point algorithm due to Attouch and Cabot remains convergent when the function to be minimized is not convex, being only endowed with certain generalized convexity properties. Numerical experiments showcase the improvements brought by the relaxation and inertia features to the standard proximal point method in this setting, too.

Revista

Revista	ISSN
Optimization	0233-1934

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics, Applied
Operations Research & Management Science

Scopus
Sin Disciplinas

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Grad, Sorin-Mihai	Hombre	Inst Polytech Paris - Francia Unité de mathématiques appliquées - Francia
2	LARA-OBREQUE, FELIPE	Hombre	Universidad de Tarapacá - Chile
3	Marcavillaca, Raul T.	-	Universidad de Tarapacá - Chile

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Financiamiento

Fuente
Fondo Nacional de Desarrollo Científico y Tecnológico
Labex LMH
Agencia Nacional de Investigación y Desarrollo
ANID-Chile
MATH AmSud cooperation program
Investissement d'avenir project
Hi! PARIS Center
PARIS Center

Muestra la fuente de financiamiento declarada en la publicación.

Agradecimientos

Agradecimiento
The authors would like to thank the MATH AmSud cooperation program (Project AMSUD220020) for its support. This research was partially supported by ANID-Chile under project Fondecyt Regular 1220379 (Lara), and by the Hi! PARIS Center and a public grant as part of the Investissement d'avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH(Grad). The authors are grateful to an anonymous referee for comments that contributed toimproving the presentation.
The authors would like to thank the MATH AmSud cooperation program (Project AMSUD 220020) for its support. This research was partially supported by ANID\u2013Chile under project Fondecyt Regular 1220379 (Lara), and by the Hi! PARIS Center and a public grant as part of the Investissement d'avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH (Grad). The authors are grateful to an anonymous referee for comments that contributed to improving the presentation.

Agradecimiento

The authors would like to thank the MATH AmSud cooperation program (Project AMSUD220020) for its support. This research was partially supported by ANID-Chile under project Fondecyt Regular 1220379 (Lara), and by the Hi! PARIS Center and a public grant as part of the Investissement d'avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH(Grad). The authors are grateful to an anonymous referee for comments that contributed toimproving the presentation.

The authors would like to thank the MATH AmSud cooperation program (Project AMSUD 220020) for its support. This research was partially supported by ANID\u2013Chile under project Fondecyt Regular 1220379 (Lara), and by the Hi! PARIS Center and a public grant as part of the Investissement d'avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH (Grad). The authors are grateful to an anonymous referee for comments that contributed to improving the presentation.