An iterative algorithm for approximating solutions of Hammerstein equations with monotone maps in Banach spaces

DOI10.1016/j.amc.2017.06.013zbMath1426.65207OpenAlexW2708058997MaRDI QIDQ1740065

Charles E. Chidume, Abdulmalik Usman Bello

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.06.013

zbMATH Keywords

strong convergenceHammerstein equationsbounded strongly monotone mappings

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

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An inertial-type algorithm for approximation of solutions of Hammerstein integral inclusions in Hilbert spaces ⋮ A strong convergence theorem for generalized-\( \varPhi \)-strongly monotone maps, with applications ⋮ Iterative algorithms for solutions of Hammerstein equations in real Banach spaces ⋮ Two new algorithms to solve the system of generalized mixed equilibrium and fixed point problems in Banach spaces ⋮ New iterative methods for finding solutions of Hammerstein equations ⋮ Algorithms for Nonlinear Integral Equations of Hammerstein Type with Phi-monotone Mappings in Certain Banach Spaces ⋮ Approximation of zeros of bounded maximal monotone mappings, solutions of Hammerstein integral equations and convex minimization problems ⋮ Unnamed Item ⋮ Strong convergence of an inertial algorithm for maximal monotone inclusions with applications ⋮ An Iterative Algorithm for Approximating Solutions of Hammerstein Equations with Bounded Generalized Phi-Monotone Mappings ⋮ On the strong convergence of the proximal point algorithm with an application to Hammerstein euations

Cites Work

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• Solution of nonlinear integral equations of Hammerstein type
• Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings
• Approximation of solutions of Hammerstein equations with bounded strongly accretive nonlinear operators
• Monotone (nonlinear) operators in Hilbert space
• Nonlinear integral equations and systems of Hammerstein type
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• 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
• On the projection methods for fixed point problems
• An algorithm for computing zeros of generalized phi-strongly monotone and bounded maps in classical Banach spaces
• Nonlinear Ill-posed Problems of Monotone Type
• Existence theorems for nonlinear integral equations of Hammerstein type
• Iterative solutions of nonlinear accretive operator equations in arbitrary Banach spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Approximation of Solutions of Nonlinear Equations of Monotone and Hammerstein Type
• Some new results about Hammerstein equations
• Approximation of solutions of nonlinear equations of Hammerstein type in Hilbert space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Maximal monotone operators and nonlinear integral equations of Hammerstein type
• Mean Value Methods in Iteration
• Approximation of solutions of generalized equations of Hammerstein type
• Iterative approximation of solutions of nonlinear equations of Hammerstein type
• Iterative approximation of solutions of nonlinear equations of Hammerstein type

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