A steepest-descent Krasnosel'skii-Mann algorithm for a class of variational inequalities in Banach spaces

DOI10.1007/s11784-016-0290-3zbMath1457.47012OpenAlexW2371598191MaRDI QIDQ343880

Nguyen Thi Thu Thuy, Nguyen Buong, Vu Xuan Quynh

Publication date: 29 November 2016

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0290-3

zbMATH Keywords

fixed pointvariational inequalitynonexpansive mappinguniformly Gâteaux differentiable normuniformly smooth Banach spaceexplicit iterationHalpern-type algorithmsKrasnosel'skii-Mann algorithmreflexive and strictly convex Banach spacesteepest-descent method

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (9)

Steepest-descent block-iterative methods for a finite family of quasi-nonexpansive mappings ⋮ Convergence of a hybrid viscosity approximation method for finding zeros of \(m\)-accretive operators ⋮ Steepest-descent Ishikawa iterative methods for a class of variational inequalities in Banach spaces ⋮ Iterative algorithms for the multiple-sets split feasibility problem in Hilbert spaces ⋮ Iterative methods for a class of variational inequalities in Hilbert spaces ⋮ A hybrid method for solving variational inequalities over the common fixed point sets of infinite families of nonexpansive mappings in Banach spaces ⋮ Iterative methods for zeros of a monotone variational inclusion in Hilbert spaces ⋮ Iterative regularization methods for the multiple-sets split feasibility problem in Hilbert spaces ⋮ Unnamed Item

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