Strong convergence theorem for approximation of solutions of equations of Hammerstein type

DOI10.1016/j.na.2012.05.014zbMath1296.47071OpenAlexW2083887483MaRDI QIDQ450606

Yekini Shehu, Charles E. Chidume

Publication date: 13 September 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.05.014

zbMATH Keywords

strong convergenceHilbert spacemonotone operatorequation of Hammerstein typeexplicit iterative sequence

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

An inertial-type algorithm for approximation of solutions of Hammerstein integral inclusions in Hilbert spaces, Convergence of hybrid viscosity and steepest-descent methods for pseudocontractive mappings and nonlinear Hammerstein equations, Strong convergence result for monotone variational inequalities, New iterative methods for finding solutions of Hammerstein equations, Algorithm for solutions of nonlinear equations of strongly monotone type and applications to convex minimization and variational inequality problems, Stability of nonlinear Urysohn integral equations via global diffeomorphisms and implicit function theorems, Approximation of zeros of bounded maximal monotone mappings, solutions of Hammerstein integral equations and convex minimization problems, Global solvability of Hammerstein equations with applications to BVP involving fractional Laplacian

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