Halpern type proximal point algorithm of accretive operators

DOI10.1016/j.na.2011.09.036zbMath1253.47049OpenAlexW1977574923MaRDI QIDQ412632

Yisheng Song, Qing-Nian Zhang

Publication date: 4 May 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.2011.09.036

zbMATH Keywords

accretive operatoruniformly convex Banach spaceuniformly Gâteaux differentiable normweakly continuous duality mapping

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 (5)

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 ⋮ Convergence analysis of a Halpern type algorithm for accretive operators ⋮ A new iteration technique for nonlinear operators as concerns convex programming and feasibility problems

Cites Work

• Unnamed Item
• Halpern iteration for firmly type nonexpansive mappings
• A regularization method for the proximal point algorithm
• On iterations methods for zeros of accretive operators in Banach spaces
• A note on a paper ``A regularization method for the proximal point algorithm
• An iterative approach to quadratic optimization
• Convergence of generalized proximal point algorithms
• A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings 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 solutions for zeros of multivalued accretive operators
• Iterative Algorithms for Nonlinear Operators
• Strong convergence of an iterative method for non‐expansive mappings
• NEW ITERATIVE ALGORITHMS FOR ZEROS OF ACCRETIVE OPERATORS
• Inequalities in Banach spaces with applications
• Approximating Zeros of Accretive Operators
• Monotone Operators and the Proximal Point Algorithm
• Iterative solutions for zeros of accretive operators
• NONLINEAR MONOTONE AND ACCRETIVE OPERATORS IN BANACH SPACES
• A Global Existence Theorem for Autonomous Differential Equations in a Banach Space

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