Split feasibility and fixed-point problems for asymptotically quasi-nonexpansive mappings

DOI10.1186/1029-242X-2013-322OpenAlexW2156972489WikidataQ59299753 ScholiaQ59299753MaRDI QIDQ2437698

Poom Kumam, Jitsupa Deepho

Publication date: 13 March 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-322

zbMATH Keywords

regularizationasymptotically quasi-nonexpansive mappingsfixed point problemssplit feasibility problemsmaximal monotone mappingsrelaxed extragradient methods

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
• Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• A multiprojection algorithm using Bregman projections in a product space
• The multiple-sets split feasibility problem and its applications for inverse problems
• Iterative oblique projection onto convex sets and the split feasibility problem
• Solving monotone inclusions via compositions of nonexpansive averaged operators
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• An Iteration Formula for Fredholm Integral Equations of the First Kind

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