Viscosity approximation process for a sequence of quasinonexpansive mappings

DOI10.1186/1687-1812-2014-17zbMath1346.47032OpenAlexW2145040623WikidataQ59396416 ScholiaQ59396416MaRDI QIDQ2017392

Koji Aoyama, Fumiaki Kohsaka

Publication date: 20 March 2015

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-17

zbMATH Keywords

strong convergencefixed pointviscosity approximation methodquasinonexpansive mappinghybrid steepest descent method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

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Application of Quasi-Nonexpansive Operators to an Iterative Method for Variational Inequality ⋮ Approximation of common fixed points of strongly nonexpansive sequences in a Banach space ⋮ Superiorization with level control ⋮ Iterative methods for solving variational inequalities in Euclidean space ⋮ Outer Approximation Methods for Solving Variational Inequalities Defined over the Solution Set of a Split Convex Feasibility Problem ⋮ Linear convergence rates for extrapolated fixed point algorithms ⋮ Selective projection methods for solving a class of variational inequalities ⋮ Split common fixed point and null point problems for demicontractive operators in Hilbert spaces ⋮ Extrapolated sequential constraint method for variational inequality over the intersection of fixed-point sets ⋮ Regular Sequences of Quasi-Nonexpansive Operators and Their Applications ⋮ Further investigation into split common fixed point problem for demicontractive operators ⋮ On split fixed point problems for multi-valued mappings and designing a self-adaptive method ⋮ Weak, strong and linear convergence of the CQ-method via the regularity of Landweber operators ⋮ Strong convergence of a hybrid steepest descent method for the split common fixed point problem ⋮ Another look at the split common fixed point problem for demicontractive operators

Cites Work

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