Convergence analysis of a Halpern type algorithm for accretive operators

DOI10.1016/j.na.2012.04.017zbMath1262.47094OpenAlexW1984807838MaRDI QIDQ435076

Youli Yu

Publication date: 16 July 2012

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.2012.04.017

zbMATH Keywords

accretive operatoruniformly Gâteaux differentiable normuniformly convexproximal point algorithmweakly continuous

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10)

Related Items

Some results on Rockafellar-type iterative algorithms for zeros of accretive operators ⋮ Strong convergence of Halpern iterations for quasi-nonexpansive mappings and accretive operators in Banach spaces ⋮ New algorithms for a class of accretive variational inequalities in Banach spaces ⋮ Unnamed Item

Cites Work

• Halpern type proximal point algorithm of accretive operators
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Asymptotic behavior of contractions in Banach spaces
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Iterative Algorithms for Nonlinear Operators
• Inequalities in Banach spaces with applications
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