New implicit and explicit approximation methods for solutions of integral equations of Hammerstein type

DOI10.1016/j.amc.2014.08.057zbMath1338.45006OpenAlexW2066847133MaRDI QIDQ297629

Eric U. Ofoedu, Charles E. Onyi

Publication date: 17 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.08.057

zbMATH Keywords

iterative methodsaccretive operatorsreal Hilbert spaceequations of Hammerstein typepsuedocontractive mapping

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Theoretical approximation of solutions to integral equations (45L05)

Related Items

Convergence of hybrid viscosity and steepest-descent methods for pseudocontractive mappings and nonlinear Hammerstein equations, A strong convergence theorem for generalized-\( \varPhi \)-strongly monotone maps, with applications, Iterative algorithms for solutions of Hammerstein equations in real Banach spaces, Iterative algorithms for solutions of Hammerstein integral inclusions, 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, Strong convergence of an inertial algorithm for maximal monotone inclusions with applications, On the strong convergence of the proximal point algorithm with an application to Hammerstein euations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximation of solutions of nonlinear integral equations of Hammerstein type
• Solution of nonlinear integral equations of Hammerstein type
• Further investigation on iteration processes for pseudocontractive mappings with application
• Strong convergence theorem for a family of Lipschitz pseudocontractive mappings in a Hilbert space
• Nonlinear integral equations and systems of Hammerstein type
• Zeros of accretive operators
• Approximation of solutions of nonlinear integral equations of Hammerstein type with Lipschitz and bounded nonlinear operators
• Geometric properties of Banach spaces and nonlinear iterations
• Nonlinear semigroups and evolution equations
• Existence theorems for nonlinear integral equations of Hammerstein type
• Some new results about Hammerstein equations
• Approximation of solutions of nonlinear equations of Hammerstein type in Hilbert space
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces
• Monotone operators and nonlinear integral equations of Hammerstein type
• Maximal monotone operators and nonlinear integral equations of Hammerstein type
• On the Variational Method for the Existence of Solutions of Nonlinear Equations of Hammerstein Type
• Mean Value Methods in Iteration
• Non-Linear Integral Equations of the Hammerstein Type
• Iterative approximation of solutions of nonlinear equations of Hammerstein type
• Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.