Rate of Metastability for Bruck'S Iteration of Pseudocontractive Mappings in Hilbert Space

DOI10.1080/01630563.2013.809361zbMath1348.47060OpenAlexW2142797521MaRDI QIDQ5409723

Ulrich Kohlenbach, Daniel Körnlein

Publication date: 14 April 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.809361

zbMATH Keywords

fixed pointsmetastabilityaccretive mappingsasymptotic regularitypseudocontractive mappingsproof mining

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Functionals in proof theory (03F10)

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Cites Work

• Effective rates of convergence for Lipschitzian pseudocontractive mappings in general Banach spaces
• On quantitative versions of theorems due to F. E. Browder and R. Wittmann
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Convergence of approximants for demicontinuous pseudo-contractive maps in Hilbert spaces
• A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
• Geometric properties of Banach spaces and nonlinear iterations
• Construction of fixed points of nonlinear mappings in Hilbert space
• Approximate fixed point sequences and convergence theorems for Lipschitz pseudocontractive maps
• Convergence of paths for pseudo-contractive mappings in Banach spaces
• Norm convergence of multiple ergodic averages for commuting transformations
• EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR EQUATIONS OF EVOLUTION
• Fixed points of nonexpanding maps

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