The implicit midpoint rule of nonexpansive mappings and applications in uniformly smooth Banach spaces

DOI10.22436/jnsa.011.12.08zbMath1438.47103OpenAlexW2892650283WikidataQ129197521 ScholiaQ129197521MaRDI QIDQ5225371

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Publication date: 22 July 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.011.12.08

zbMATH Keywords

strong convergencevariational inequality problemnonexpansive mapuniformly smooth Banach spaceimplicit midpoint ruleaccretive mapviscosity technique

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)

Related Items

General semi-implicit approximations with errors for common fixed points of nonexpansive-type operators and applications to Stampacchia variational inequality ⋮ Solutions of nonlinear operator equations by viscosity iterative methods ⋮ Unnamed Item ⋮ The implicit midpoint procedures for asymptotically nonexpansive mappings

Cites Work

• Modified semi-implicit midpoint rule for nonexpansive mappings
• A modified Halpern-type iteration algorithm for a family of hemi-relatively nonexpansive mappings and systems of equilibrium problems in Banach spaces
• Mann iteration of weak convergence theorems in Banach space
• Convergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappings
• Solving variational inequalities involving nonexpansive type mappings
• A semi-implicit mid-point rule for stiff systems of ordinary differential equations
• On stability regions of the modified midpoint method for a linear delay differential equation
• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Asymptotic error expansions for stiff equations: An analysis for the implicit midpoint and trapezoidal rules in the strongly stiff case
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• The implicit midpoint rule for nonexpansive mappings
• The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces
• The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• An example on the Mann iteration method for Lipschitz pseudocontractions
• Iterative Algorithms for Nonlinear Operators
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• Implicit Midpoint Rule to the Nonlinear Degenerate Boundary Value Problems
• Strong convergence theorems for strongly monotone mappings in Banach spaces
• Fixed points of nonexpanding maps
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