About proximal-type methods for a class of nonmonotone operators

DOI10.1007/s41980-019-00244-0zbMath1428.90123OpenAlexW2947306925WikidataQ127819882 ScholiaQ127819882MaRDI QIDQ2287024

Abdellatif Moudafi

Publication date: 23 January 2020

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-019-00244-0

zbMATH Keywords

gradientpseudocontractive mappingproximalMoreau envelopehypomonotone operatormidpoint methodsYosida approximateweak convex function

Mathematics Subject Classification ID

Convex programming (90C25) Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Numerical methods based on nonlinear programming (49M37)

Related Items (2)

On Proximal Algorithms with Inertial Effects Beyond Monotonicity ⋮ Fast generalized Nash equilibrium seeking under partial-decision information

Cites Work

• Unnamed Item
• On the Ishikawa iteration processes for multivalued mappings in some \(\mathrm{CAT}(\kappa)\) spaces
• Solving proximal split feasibility problems without prior knowledge of operator norms
• Regularity results for semimonotone operators
• Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method
• Proximal point methods and nonconvex optimization
• Monotone Operators and the Proximal Point Algorithm
• Variational Analysis
• Inexact Variants of the Proximal Point Algorithm without Monotonicity
• Pseudomonotone variational inequalities: Convergence of proximal methods

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