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An extension of the proximal point algorithm beyond convexity

We introduce and investigate a new generalized convexity notion for functions called prox-convexity. The proximity operator of such a function is single-valued and firmly nonexpansive. We provide examples of (strongly) quasiconvex, weakly convex, and DC (difference of convex) functions that are prox...

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Detalles Bibliográficos
Autores principales: Grad, Sorin-Mihai, Lara, Felipe
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8810498/
https://www.ncbi.nlm.nih.gov/pubmed/35153381
http://dx.doi.org/10.1007/s10898-021-01081-4