Strong convergence of an iterative method for nonexpansive mappings with new control conditions
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Publication:1004632
DOI10.1016/j.na.2008.03.014zbMath1223.47107OpenAlexW2090994168MaRDI QIDQ1004632
Yeong-Cheng Liou, Yonghong Yao, Hai-Yun Zhou
Publication date: 11 March 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.03.014
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Iteration process for solving a fixed point problem of nonexpansive mappings in Banach spaces, Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces, MODIFIED HALPERN ITERATIVE ALGORITHM FOR NONEXPANSIVE MAPPINGS II, Strong convergence theorems of Cesàro-type means for nonexpansive mapping in CAT(0) space, Strong convergence of Halpern iterations for quasi-nonexpansive mappings and accretive operators in Banach spaces, Strong convergence on iterative methods of Cesàro means for nonexpansive mapping in Banach space, A new multi-step iteration for solving a fixed point problem of nonexpansive mappings
Cites Work
- Unnamed Item
- On viscosity iterative methods for variational inequalities
- Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces
- Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces
- Viscosity approximation methods for nonexpansive mapping sequences in Banach spaces
- A general iterative method for a finite family of nonexpansive mappings
- Strong convergence theorems for finitely many nonexpansive mappings and applications
- Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings
- Viscosity approximation methods for a common fixed point of finite family of nonexpansive mappings
- Approximation of common fixed points for a family of finite nonexpansive mappings in Banach space
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Approximation of fixed points of nonexpansive mappings
- Iterative approaches to finding nearest common fixed points of nonexpansive mappings in Hilbert spaces.
- Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
- Strong convergence of modified Mann iterations
- Approximating fixed points of non-self nonexpansive mappings in Banach spaces
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Viscosity approximation methods for nonexpansive mappings
- Viscosity approximation methods for fixed-points problems
- Iterative approximation of fixed points of nonexpansive mappings
- Convergence to common fixed points of averaged mappings without commutativity assumption in Hilbert spaces
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- Strong convergence theorems for nonexpansive nonself-mappings without boundary conditions
- Strong convergence and certain control conditions for modified Mann iteration
- Viscosity methods of approximation for a common fixed point of a family of quasi-nonexpansive mappings
- Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
- Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings in reflexive Banach spaces
- Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
- Iterative Algorithms for Nonlinear Operators
- A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
- Another control condition in an iterative method for nonexpansive mappings
- Fixed points of nonexpanding maps
