Four parameter proximal point algorithms

DOI10.1016/j.na.2010.09.008zbMath1298.47075OpenAlexW2051795273MaRDI QIDQ608408

Oganeditse Aaron Boikanyo, Gheorghe Morosanu

Publication date: 25 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.008

zbMATH Keywords

strong convergenceweak convergencemonotone operatorregularization methodminimizerproximal point algorithm

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Programming in abstract spaces (90C48) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• A proximal point algorithm converging strongly for general errors
• Inexact Halpern-type proximal point algorithm
• A regularization method for the proximal point algorithm
• On convergence criteria of generalized proximal point algorithms
• Approximation of fixed points of nonexpansive mappings
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Approximating solutions of maximal monotone operators in Hilbert spaces
• Iterative approximation of fixed points of nonexpansive mappings
• Iterative Algorithms for Nonlinear Operators
• On the Convergence of the Proximal Point Algorithm for Convex Minimization
• Monotone Operators and the Proximal Point Algorithm
• Combining The Proximal Algorithm And Tikhonov Regularization
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