Strongly convergent net given by a fixed point theorem for firmly nonexpansive type mappings
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Publication:942403
DOI10.1016/j.amc.2008.03.019zbMath1155.65343OpenAlexW2078178877MaRDI QIDQ942403
Fumiaki Kohsaka, Takahashi, Wataru
Publication date: 5 September 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2008.03.019
fixed point theoremfirmly nonexpansive mappingfirmly nonexpansive type mappingresolvent of monotone operator
Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
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- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
- On Reich's strong convergence theorems for resolvents of accretive operators
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Nonexpansive projections on subsets of Banach spaces
- Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- Convergence theorems for sequences of nonlinear operators in Banach spaces
- On the maximal monotonicity of subdifferential mappings
- Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- On the Subdifferentiability of Convex Functions
- On the Maximality of Sums of Nonlinear Monotone Operators
