Strong convergence theorems for an implicit iterative algorithm for the split common fixed point problem

DOI10.1155/2016/4093524zbMath1478.47078OpenAlexW2560865741WikidataQ59126999 ScholiaQ59126999MaRDI QIDQ503502

San-Yang Liu, Huimin He, Ru Dong Chen

Publication date: 13 January 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/4093524

zbMATH Keywords

strong convergencesplit common fixed point problemimplicit iterative algorithmdemicontractive operators

Mathematics Subject Classification ID

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

Related Items (2)

Unnamed Item ⋮ Strong convergence of new two-step viscosity iterative approximation methods for set-valued nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces

Cites Work

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• Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
• Common solutions to variational inequalities
• A note on the split common fixed-point problem for quasi-nonexpansive operators
• Cyclic algorithms for split feasibility problems in Hilbert spaces
• The relaxed inexact projection methods for the split feasibility problem
• Algorithms for the split variational inequality problem
• A multiprojection algorithm using Bregman projections in a product space
• On the computation of the step-size for the CQ-like algorithms for the split feasibility problem
• Viscosity approximation methods for nonexpansive mappings
• A relaxed alternating CQ-algorithm for convex feasibility problems
• Modified projection methods for the split feasibility problem and the multiple-sets split feasibility problem
• Strong convergence of a self-adaptive method for the split feasibility problem
• Iterative methods for the split common fixed point problem in Hilbert spaces
• On split common fixed point problems
• Algorithms with strong convergence for the split common solution of the feasibility problem and fixed point problem
• A new halfspace-relaxation projection method for the split feasibility problem
• An explicit iterative algorithm for k -strictly pseudo-contractive mappings in Banach spaces
• Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
• The multiple-sets split feasibility problem and its applications for inverse problems
• A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
• The split common fixed-point problem for demicontractive mappings
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Iterative oblique projection onto convex sets and the split feasibility problem
• The Split Common Null Point Problem
• The relaxed CQ algorithm solving the split feasibility problem
• A note on the CQ algorithm for the split feasibility problem
• Several solution methods for the split feasibility problem

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