Strong convergence of viscosity approximation methods for finding zeros of accretive operators in Banach spaces

DOI10.1016/j.na.2009.06.079zbMath1226.47075OpenAlexW2026037191MaRDI QIDQ1049524

Jong Soo Jung

Publication date: 12 January 2010

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.2009.06.079

zbMATH Keywords

fixed pointsaccretive operatorresolventstrong convergencevariational inequalitieszerosuniformly Gâteaux differentiable normnonexpansive mappingsviscosity approximation methodweakly sequentially continuous duality mappingcomposite iterative scheme

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence theorems for fixed point problems for nonexpansive mappings and zero point problems for accretive operators using viscosity implicit midpoint rules in Banach spaces ⋮ Strong convergence of iterative schemes for zeros of accretive operators in reflexive Banach spaces ⋮ A regularization algorithm for zero points of accretive operators ⋮ Cayley approximation operator with an application to a system of set-valued Cayley type inclusions ⋮ Approximation common zero of two accretive operators in Banach spaces ⋮ Convergence of path and approximation of common element of null spaces of countably infinite family of \(m\)-accretive mappings in uniformly convex Banach spaces ⋮ Viscosity approximations considering boundary point method for fixed-point and variational inequalities of quasi-nonexpansive mappings

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