An iterative method with residual vectors for solving the fixed point and the split inclusion problems in Banach spaces
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Publication:2322334
DOI10.1007/s40314-019-0766-zzbMath1438.47105OpenAlexW2915835400MaRDI QIDQ2322334
Prasit Cholamjiak, Pongsakorn Sunthrayuth, Suthep Suantai
Publication date: 4 September 2019
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-019-0766-z
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Variational and other types of inclusions (47J22)
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Cites Work
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- Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces
- An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces
- Solving proximal split feasibility problems without prior knowledge of operator norms
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Split monotone variational inclusions
- Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
- On the uniform convexity of \(L^p\) and \(l^p\)
- Minimization of Tikhonov functionals in Banach spaces
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- An iterative row-action method for interval convex programming
- On the asymptotic behavior of nonlinear semigroups and the range of accretive operators
- Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
- A multiprojection algorithm using Bregman projections in a product space
- Convergence analysis of a general iterative algorithm for finding a common solution of split variational inclusion and optimization problems
- Bregman distance and strong convergence of proximal-type algorithms
- The split common null point problem in Banach spaces
- Iterative solution of split variational inclusion problem in a real Banach spaces
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- The split common null point problem for generalized resolvents in two Banach spaces
- An iterative method for split variational inclusion problem and fixed point problem for a nonexpansive mapping
- An explicit construction of sunny nonexpansive retractions in Banach spaces
- Geometric properties of Banach spaces and nonlinear iterations
- The split common null point problem and the shrinking projection method in Banach spaces
- Construction of sunny nonexpansive retractions in Banach spaces
- An iterative regularization method for the solution of the split feasibility problem in Banach spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
- Inequalities in Banach spaces with applications
- One-Parameter Semigroups for Linear Evolution Equations
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
- Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
- Split common fixed point and null point problems for demicontractive operators in Hilbert spaces
- The Split Common Null Point Problem
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
- Nonlinear iterative methods for solving the split common null point problem in Banach spaces
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- Generalized Projection Operators in Banach Spaces: Properties and Applications
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