The split common null point problem for generalized resolvents in two Banach spaces

DOI10.1007/s11075-016-0230-8OpenAlexW2544832979MaRDI QIDQ2407920

Takahashi, Wataru

Publication date: 6 October 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-016-0230-8

zbMATH Keywords

fixed pointduality mappingmaximal monotone operatorgeneralized resolventhybrid methodgeneralized projectionsplit common null point problem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Dynamical technique for split common fixed point problem in Banach spaces ⋮ Convergence analysis of new inertial method for the split common null point problem ⋮ A new self-adaptive method for the multiple-sets split common null point problem in Banach spaces ⋮ On the split common fixed point problem for strict quasi-\(\phi\)-pseudocontractive mappings in Banach spaces ⋮ Unnamed Item ⋮ New inertial algorithm for solving split common null point problem in Banach spaces ⋮ An iterative method with residual vectors for solving the fixed point and the split inclusion problems in Banach spaces ⋮ The split common null point problem for Bregman generalized resolvents in two Banach spaces

Cites Work

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• An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces
• Algorithms for the split variational inequality problem
• A multiprojection algorithm using Bregman projections in a product space
• Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Forcing strong convergence of proximal point iterations in a Hilbert space
• The split common null point problem in Banach spaces
• Iterative methods for generalized split feasibility problems in Hilbert spaces
• Nonlinear maximal monotone operators in Banach space
• A Strong Convergence Theorem by the Shrinking Projection Method for the Split Common Null Point Problem in Banach 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
• An iterative regularization method for the solution of the split feasibility problem in Banach spaces
• The split common fixed-point problem for demicontractive mappings
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• The Split Common Null Point Problem
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• A New Algorithm for Solving The Multiple-Sets Split Feasibility Problem in Banach Spaces
• On the Maximality of Sums of Nonlinear Monotone Operators
• Domains of accretive operators in Banach spaces