Mann-Dotson's algorithm for a countable family of non-self strict pseudo-contractive mappings
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Publication:6144965
DOI10.1007/s12215-023-00912-5OpenAlexW4381094314MaRDI QIDQ6144965
Publication date: 30 January 2024
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-023-00912-5
strong convergenceweak convergencepseudocontractive mapping\(q\)-uniformly smooth Banach spaceinward conditionMann-Dotson algorithm
Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)
Cites Work
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- On the approximation of fixed points of non-self strict pseudocontractions
- Common fixed points of strict pseudocontractions by iterative algorithms
- Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces
- Convergence theorems for a countable family of Lipschitzian mappings
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Convergence theorems for \(\lambda \)-strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces
- A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- On the Mann iteration process in a Hilbert space
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Fixed points of nonexpansive and quasi-nonexpansive mappings
- Convergence criteria of iterative methods based on Landweber iteration for solving nonlinear problems
- Boundary point method and the Mann-Dotson algorithm for non-self mappings in Banach spaces
- Krasnoselskii-Mann method for non-self mappings
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- Iterative methods for strict pseudo-contractions in Hilbert spaces
- Strong convergence theorems by the hybrid method for families of nonexpansive mappings in Hilbert spaces
- Geometric properties of Banach spaces and nonlinear iterations
- Convergence theorems for sequences of nonlinear operators in Banach spaces
- Construction of fixed points of nonlinear mappings in Hilbert space
- Remarks on condensing and \(k\)-set-contractive mappings
- Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- Inequalities in Banach spaces with applications
- Approximating Fixed Points of Nonexpansive Mappings
- Boundary Point Method and Mann-Dotson’s Algorithm for Nonself Strict Pseudo-contractive Mappings in Uniformly Smooth Banach Spaces
- Fixed Point Iterations Using Infinite Matrices
- Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces
- Nonexpansive Mappings, Their Extensions, and Generalizations in Banach Spaces
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Mean Value Methods in Iteration
- Demiclosedness principle and convergence theorems for strictly pseudocontractive mappings of Browder-Petryshyn type