A strong convergence theorem for relatively nonexpansive mappings in a Banach space
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Publication:557556
DOI10.1016/j.jat.2005.02.007zbMath1071.47063OpenAlexW2027871311MaRDI QIDQ557556
Publication date: 30 June 2005
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2005.02.007
strong convergencenonexpansive mappingmaximal monotone operatorhybrid methodgeneralized projectionrelatively nonexpansive mappingasymptotic fixed point
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces
- Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Forcing strong convergence of proximal point iterations in a Hilbert space
- 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
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- On the Maximality of Sums of Nonlinear Monotone Operators