Convergence and weaker control conditions for hybrid iterative algorithms

DOI10.1186/1687-1812-2011-3zbMath1393.47041OpenAlexW2155308493WikidataQ59269986 ScholiaQ59269986MaRDI QIDQ1952124

Shuang Wang

Publication date: 27 May 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-3

zbMATH Keywords

fixed pointsstrong convergenceweak convergencevariational inequalityHilbert spaceinfinite family of nonexpansive mappingshybrid iterative algorithm\(\eta\)-strongly monotone\(k\)-Lipschitzian

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (6)

Explicit iteration methods for solving variational inequalities in Banach spaces ⋮ Explicit iteration methods for a class of variational inequalities in Banach spaces ⋮ Strong convergence to solutions for a class of variational inequalities in Banach spaces by implicit iteration methods ⋮ A new simple parallel iteration method for a class of variational inequalities ⋮ Hybrid algorithms of nonexpansive semigroups for variational inequalities ⋮ Approximation of common fixed points of a sequence of nearly nonexpansive mappings and solutions of variational inequality problems

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