Three step algorithm for weighted resolvent average of a finite family of monotone operators

DOI10.2298/FIL1817031BzbMath1497.47091WikidataQ127985953 ScholiaQ127985953MaRDI QIDQ5086821

Mehdi Roohi, Malihe Bagheri

Publication date: 7 July 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

strong convergencemonotone operatorsprojection algorithmproximal point algorithmweighted resolvent average

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Cites Work

• Strong convergence theorem for strict pseudo-contractions in Hilbert spaces
• A regularization method for the proximal point algorithm
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Viscosity approximation methods for nonexpansive mappings
• Strong convergence of a regularization method for Rockafellar's proximal point algorithm
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• The Resolvent Average of Monotone Operators: Dominant and Recessive Properties
• Iterative Algorithms for Nonlinear Operators
• The Proximal Average: Basic Theory
• On the Convergence of the Proximal Point Algorithm for Convex Minimization
• Monotone Operators and the Proximal Point Algorithm
• Fixed points of nonexpanding maps
• Convex analysis and monotone operator theory in Hilbert spaces
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