Split common fixed point and null point problems for demicontractive operators in Hilbert spaces

DOI10.1080/10556788.2017.1359265OpenAlexW2749311660MaRDI QIDQ4622884

Suthep Suantai, Pachara Jailoka

Publication date: 18 February 2019

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2017.1359265

zbMATH Keywords

maximal monotone operatorsstrong convergenceresolvent operatorssplit common fixed point problemsdemicontractive operatorssplit null point problems

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

A self-adaptive algorithm for split null point problems and fixed point problems for demicontractive multivalued mappings ⋮ Strong convergence theorem for common zero points of inverse strongly monotone mappings and common fixed points of generalized demimetric mappings ⋮ A modified contraction method for solving certain class of split monotone variational inclusion problems with application ⋮ Inertial Mann-type iterative method for solving split monotone variational inclusion problem with applications ⋮ Unnamed Item ⋮ Split null point problems and fixed point problems for demicontractive multivalued mappings ⋮ Unnamed Item ⋮ An iterative method with residual vectors for solving the fixed point and the split inclusion problems in Banach spaces ⋮ On split null point and common fixed point problems for multivalued demicontractive mappings ⋮ Reckoning solution of split common fixed point problems by using inertial self-adaptive algorithms ⋮ Inertial method for split null point problems with pseudomonotone variational inequality problems ⋮ Viscosity approximation methods for split common fixed point problems without prior knowledge of the operator norm

Uses Software

• UNLocBoX

Cites Work

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• Another look at the split common fixed point problem for demicontractive operators
• Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem
• Iterative methods for fixed point problems in Hilbert spaces
• A note on the split common fixed-point problem for quasi-nonexpansive operators
• Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces
• Iterative methods for the computation of fixed points of demicontractive mappings
• On the Mann iteration process in a Hilbert space
• A multiprojection algorithm using Bregman projections in a product space
• Viscosity approximation process for a sequence of quasinonexpansive mappings
• On split common fixed point problems
• Iterative methods for generalized split feasibility problems in Hilbert spaces
• General method for solving the split common fixed point problem
• On the maximal monotonicity of subdifferential mappings
• Proximal Splitting Methods in Signal Processing
• 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
• Hybrid Steepest Descent Method for Variational Inequality Problem over the Fixed Point Set of Certain Quasi-nonexpansive Mappings
• The relaxed CQ algorithm solving 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
• Convex analysis and monotone operator theory in Hilbert spaces

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