On iterations methods for zeros of accretive operators in Banach spaces

DOI10.1016/j.amc.2010.01.124zbMath1192.65070OpenAlexW2024838685MaRDI QIDQ969173

Jung Im Kang, Yisheng Song, Yeol Je Cho

Publication date: 11 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.124

zbMATH Keywords

Banach spacesstrong convergencevariational inequalitiesmonotone operatorsnonlinear operator equationsset-valued accretive operatorsapproximate Picard type iterationHalpern type iterationPicard type iteration

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Some results on Rockafellar-type iterative algorithms for zeros of accretive operators, Convergence theorems for common fixed points of a finite family of relatively nonexpansive mappings in Banach spaces, A general inexact iterative method for monotone operators, equilibrium problems and fixed point problems of semigroups in Hilbert spaces, Strong convergence of a proximal-type algorithm for an occasionally pseudomonotone operator in Banach spaces, Proximal algorithms for a class of mixed equilibrium problems, A new iteration process for equilibrium, variational inequality, fixed point problems, and zeros of maximal monotone operators in a Banach space, Halpern type proximal point algorithm of accretive operators, Convergence of an iterative algorithm for common solutions for zeros of maximal accretive operator with applications, Approximating solution of \(0\in T(x)\) for an \(H\)-accretive operator in Banach spaces, Viscosity approximation methods for zeros of accretive operators and fixed point problems in Banach spaces

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