A weak convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces
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Publication:537110
DOI10.1155/2011/859795zbMath1215.47081OpenAlexW2004543166WikidataQ59267105 ScholiaQ59267105MaRDI QIDQ537110
Sun Young Cho, Xiaolong Qin, Kang, Shin Min
Publication date: 19 May 2011
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/228524
weak convergenceHilbert spacesmodified Ishikawa iterative processtotal asymptotically pseudocontractive mappings
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Modified Picard-Mann hybrid iteration process for total asymptotically nonexpansive mappings ⋮ Strong convergence for total asymptotically pseudocontractive semigroups in Banach spaces ⋮ Some common fixed point results for three total asymptotically pseudocontractive mappings ⋮ A strong convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces ⋮ Strong convergence of approximated iterations for asymptotically pseudocontractive mappings ⋮ Hybrid algorithm with perturbations for total asymptotically non-expansive mappings in CAT(0) space
Cites Work
- Iterative construction of fixed points of asymptotically nonexpansive mappings
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings
- A new iteration process for approximation of common fixed points for finite families of total asymptotically nonexpansive mappings
- Convergence theorems on asymptotically pseudocontractive mappings in the intermediate sense
- Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces
- Asymptotically strict pseudocontractive mappings in the intermediate sense
- Comments on two fixed point iteration methods
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
- Some theorems on weakly contractive maps.
- Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions
- Approximating fixed points of total asymptotically nonexpansive mappings
- Construction of fixed points of nonlinear mappings in Hilbert space
- On the projection methods for fixed point problems
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
- Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
- CONVERGENCE THEOREMS AND STABILITY PROBLEMS OF THE MODIFIED ISHIKAWA ITERATIVE SEQUENCES FOR STRICTLY SUCCESSIVELY HEMICONTRACTIVE MAPPINGS
- Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
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