Strong convergence theorems for solutions of equations of Hammerstein type

DOI10.1155/2013/541079zbMath1282.47075OpenAlexW2066250925WikidataQ59002918 ScholiaQ59002918MaRDI QIDQ2375579

Chih-Sheng Chuang

Publication date: 14 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/541079

zbMATH Keywords

Hilbert spacesolutionLipschitzian mappingmonotone mappingstrong convergence theoremHammerstein type equationexplicit iterative scheme

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Cites Work

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• Approximation of solutions of nonlinear integral equations of Hammerstein type
• Solution of nonlinear integral equations of Hammerstein type
• Nonlinear integral equations and systems of Hammerstein type
• Approximation of solutions of nonlinear integral equations of Hammerstein type with Lipschitz and bounded nonlinear operators
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Geometric properties of Banach spaces and nonlinear iterations
• Existence theorems for nonlinear integral equations of Hammerstein type
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• Some new results about Hammerstein equations
• Approximation of solutions of nonlinear equations of Hammerstein type in Hilbert space
• Monotone operators and nonlinear integral equations of Hammerstein type
• Maximal monotone operators and nonlinear integral equations of Hammerstein type