Strong convergence theorems for a finite family of \(\lambda_i\)-strict pseudocontractions in 2-uniformly smooth Banach spaces by metric projections
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Publication:1952933
DOI10.1155/2012/759718zbMath1417.47022OpenAlexW1968777956WikidataQ58907305 ScholiaQ58907305MaRDI QIDQ1952933
Xin-dong Liu, Xiong Rui Wang, Shi Sheng Zhang
Publication date: 3 June 2013
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/759718
strong convergence2-uniformly smooth Banach space\(\lambda_i\)-strict pseudocontractionmetric projection method
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Strong convergence theorems for a countable family of quasi-\(\phi \)-asymptotically nonexpansive nonself mappings
- A modified Halpern-type iteration algorithm for totally quasi-\(\phi \)-asymptotically nonexpansive mappings with applications
- Strong convergence theorems for countable families of asymptotically relatively nonexpansive mappings with applications
- Strong convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- On the convergence of hybrid projection algorithms for asymptotically quasi-\(\phi\)-nonexpansive mappings
- New monotone hybrid algorithm for hemi-relatively nonexpansive mappings and maximal monotone operators
- Strong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spaces
- An implicit iteration process for solving a fixed point problem of a finite family of multi-valued mappings in Banach spaces
- Convergence theorems for \(\lambda \)-strict pseudo-contractions in 2-uniformly smooth Banach spaces
- Strong convergence of shrinking projection methods for quasi-nonexpansive mappings and equilibrium problems
- Approximation of common fixed points for a family of finite nonexpansive mappings in Banach space
- Approximating solutions of variational inequalities for asymptotically nonexpansive mappings
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
- Strong convergence of modified Mann iterations
- Zeros of accretive operators
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Nonexpansive projections on subsets of Banach spaces
- Convergence of Mann's type iteration method for generalized asymptotically nonexpansive mappings
- Halpern-type iterations for strongly relatively nonexpansive mappings in Banach spaces
- Approximating fixed points of nonexpansive mappings in a Banach space by metric projections
- Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions 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
- Construction of fixed points of nonlinear mappings in Hilbert space
- Some geometric properties related to the fixed point theory for nonexpansive mappings
- On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
- An example on the Mann iteration method for Lipschitz pseudocontractions
- Inequalities in Banach spaces with applications
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
- Strong Convergence of Approximating Fixed Point Sequences for Nonexpansive Mappings
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