On the Convergence of Some Iteration Processes in Uniformly Convex Banach Spaces

DOI10.2307/2042210zbMath0393.47040OpenAlexW4256454482MaRDI QIDQ4176052

Joachim Gwinner

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042210

zbMATH Keywords

Nonexpansive OperatorIteration ProcessesMann-Toeplitz-IterationUniformly Convex Banach Spaces

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (10)

Ishikawa-type and Mann-type iterative processes with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach spaces ⋮ Iterative solution of nonlinear equations involving strongly accretive operators without the Lipschitz assumption ⋮ Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces ⋮ Strong convergence theorems for resolvents of accretive operators in Banach spaces ⋮ Mathematical logic: proof theory, constructive mathematics. Abstracts from the workshop held November 8--14, 2020 (hybrid meeting) ⋮ Iterative approximation of solutions to nonlinear equations of strongly accretive operators in Banach spaces ⋮ Approximation of Fixed Points of Strongly Pseudocontractive Mappings ⋮ Quantitative translations for viscosity approximation methods in hyperbolic spaces ⋮ An iterative process for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces ⋮ An iterative process for nonlinear Lipschitzian and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces

Cites Work

• Convexity, monotonicity, and gradient processes in Hilbert space
• A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
• Méthodes d'approximation et d'itération pour les opérateurs monotones
• Approximating Zeros of Accretive Operators
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• Fixed points of nonexpanding maps
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