Strong convergence of a modified Halpern's iteration for nonexpansive mappings
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Publication:1008519
DOI10.1155/2008/649162zbMath1203.47049OpenAlexW2061350264WikidataQ59216581 ScholiaQ59216581MaRDI QIDQ1008519
Publication date: 30 March 2009
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/45413
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (12)
Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces ⋮ Implicit iterative scheme for a countable family of nonexpansive mappings in 2-uniformly smooth Banach spaces ⋮ Unnamed Item ⋮ Strong convergence of modified Halpern iterations in \(\mathrm{CAT}(0)\) spaces ⋮ Stable iteration procedures in metric spaces which generalize a Picard-type iteration ⋮ Strong convergence theorems for two total quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces ⋮ A note on strong convergence of a modified Halpern's iteration for nonexpansive mappings ⋮ Stability and convergence results based on fixed point theory for a generalized viscosity iterative scheme ⋮ Strong convergence of a new iteration for a finite family of accretive operators ⋮ Some combined relations between contractive mappings, Kannan mappings, reasonable expansive mappings, and \(T\)-stability ⋮ Total stability properties based on fixed point theory for a class of hybrid dynamic systems ⋮ On the strong convergence of a modified Halpern algorithm in a CAT(0) space
Cites Work
- Convergence on composite iterative schemes for nonexpansive mappings in Banach spaces
- Generalized Mann iterations for approximating fixed points of a family of hemicontractions
- On Reich's strong convergence theorems for resolvents of accretive operators
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Approximation of fixed points of nonexpansive mappings
- Strong convergence of modified Mann iterations
- Iterative approximation of fixed points of nonexpansive mappings
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
- Iterative Algorithms for Nonlinear Operators
- A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
- Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
- Convergence of paths for pseudo-contractive mappings in Banach spaces
- Fixed points of nonexpanding maps
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