2014/03/27 by B. Pauwels, Benoit Pauwels, Pauwels, Benoit
Computer Science · Mathematics · #47H04 #47H09 #65K05 #Advanced Optimization Algorithms Research #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Control (math.OC) #Optimization and Variational Analysis #math.FA #math.OC #msc:47H04 #msc:47H09 #msc:65K05
paper · pdf · doi:10.48550/arxiv.1403.7237
Master Thesis Memoir under the supervision of Patrick L. Combettes, in French
arxiv created 2014/03/27 · openalex publication_date 2014/03/27 · arxiv updated 2014/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Several algebraic and topological properties of subgradient projection operators are investigated and various examples are provided. Connections with Moreau's proximity operator are also made and acceleration schemes for subgradient projection algorihms are discussed. Finally continuity, nonexpansiveness, monotonicity, differentiability, and epi-convergence properties are investigated.