Inertial iteration for split common fixed-point problem for quasi-nonexpansive operators

DOI10.1155/2013/386930zbMath1364.47020OpenAlexW2076683373WikidataQ58916131 ScholiaQ58916131MaRDI QIDQ2015484

Yan Gao, Ya-Zheng Dang

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/386930

zbMATH Keywords

Hilbert spacesplit common fixed-point problemasymptotical convergenceinertial iterative algorithmquasi-nonexpansive operators

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

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Viscosity approximations considering boundary point method for fixed-point and variational inequalities of quasi-nonexpansive mappings

Cites Work

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• A perturbed projection algorithm with inertial technique for split feasibility problem
• A note on the split common fixed-point problem for quasi-nonexpansive operators
• Convergence theorems for inertial KM-type algorithms
• Parallel application of block-iterative methods in medical imaging and radiation therapy
• A multiprojection algorithm using Bregman projections in a product space
• On the Mann-type iteration and the convex feasibility problem
• The Constraint Consensus Method for Finding Approximately Feasible Points in Nonlinear Programs
• The strong convergence of a KM–CQ-like algorithm for a split feasibility problem
• Iterative oblique projection onto convex sets and the split feasibility problem
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A note on the CQ algorithm for the split feasibility problem
• A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces