General iterative algorithm for nonexpansive semigroups and variational inequalities in Hilbert spaces

DOI10.1155/2010/264052zbMath1184.49014OpenAlexW1987391936WikidataQ59250154 ScholiaQ59250154MaRDI QIDQ962481

Jinlong Kang, Xin Zhang, Yongfu Su

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227025

zbMATH Keywords

strong convergencevariational inequalityiterative methodfixed point set of a nonexpansive semigroup in a Hilbert space

Mathematics Subject Classification ID

Variational inequalities (49J40) One-parameter semigroups and linear evolution equations (47D06) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

A Generalized Nonlinear Iterative Algorithm for the Explicit Midpoint Rule of Nonexpansive Semigroup ⋮ A general iterative method for a nonexpansive semigroup in Banach spaces with gauge functions ⋮ Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions ⋮ An explicit iterative algorithm for a class of variational inequalities in Hilbert spaces ⋮ A viscosity iterative algorithm for the optimization problem system

Cites Work

• Fixed-point solutions of variational inequalities for nonexpansive semigroups in Hilbert spaces
• Strong convergence to common fixed points of families of nonexpansive mappings
• An iterative approach to quadratic optimization
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Iterative Algorithms for Nonlinear Operators
• A Use of Conjugate Gradient Direction for the Convex Optimization Problem over the Fixed Point Set of a Nonexpansive Mapping
• A block-iterative surrogate constraint splitting method for quadratic signal recovery
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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