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math.OC2024★ 1 cited
Convergence of Descent Optimization Algorithms under Polyak-Łojasiewicz-Kurdyka Conditions
G. C. Bento, B. S. Mordukhovich, T. S. Mota +1
This paper develops a comprehensive convergence analysis for generic classes of descent algorithms in nonsmooth and nonconvex optimization under several conditions of the Polyak-Ło…
math.OC2024
A Refined Proximal Algorithm for Nonconvex Multiobjective Optimization in Hilbert Spaces
G. C. Bento, J. X. Cruz Neto, J. O. Lopes +2
This paper is devoted to general nonconvex problems of multiobjective optimization in Hilbert spaces. Based on Mordukhovich's limiting subgradients, we define a new notion of Paret…