Etudiant : KHARBOUCH AYOUB

Filière : Master Mathématiques Pures (MMP)

Encadrant : Pr. LAFHIM LAHOUSSINE

Annèe : 2024

Résumé : this work proposes and develops a new Newton-type algorithm to solve subdifferential inclusions defined by subgradients of extended-real-valued prox-regular functions. The proposed algorithm is formulated in terms of the second-order subdifferential of such functions that enjoys extensive calculus rules and can be efficiently computed for broad classes of extendedreal-valued functions. Based on this and on metric regularity and subregularity properties of subgradient mappings, we establish verifiable conditions ensuring well-posedness of the proposed algorithm and its local superlinear convergence .