Common fixed points of strict pseudocontractions by iterative algorithms
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Publication:549801
DOI10.1016/j.jmaa.2011.04.063zbMath1232.47044OpenAlexW2074541004MaRDI QIDQ549801
Vittorio Colao, Giuseppe Marino
Publication date: 18 July 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.063
strong convergenceweak convergencecommon fixed pointsstrict pseudocontractions\(q\)-uniformly smooth Banach spacescyclic algorithmsKrasnoselskii-Mann iteration
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
- Unnamed Item
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- Hilbertian convex feasibility problem: Convergence of projection methods
- A general iterative method for a finite family of nonexpansive mappings
- Convergence theorems for \(\lambda \)-strict pseudo-contractions in 2-uniformly smooth Banach spaces
- Strong convergence theorems for strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces
- A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
- Cyclic algorithm for common fixed points of finite family of strictly pseudocontractive mappings of Browder-Petryshyn type
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Product formulas, nonlinear semigroups, and accretive operators
- Common fixed points of nonexpansive mappings by iteration
- Geometry of Banach spaces. Selected topics
- An iterative approach to quadratic optimization
- Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
- Viscosity approximation methods for fixed-points problems
- Asymptotic behavior of contractions in Banach spaces
- Iterative methods for strict pseudo-contractions in Hilbert spaces
- Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces
- Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
- Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
- Iterative Algorithms for Nonlinear Operators
- Inequalities in Banach spaces with applications
- On Projection Algorithms for Solving Convex Feasibility Problems
- Demiclosedness principle and convergence theorems for strictly pseudocontractive mappings of Browder-Petryshyn type