Strong convergence of Mann type implicit iterative process for demi-continuous pseudo-contractions
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Publication:1032543
DOI10.1007/s12190-008-0126-4zbMath1222.47110OpenAlexW1981931770MaRDI QIDQ1032543
Xiaolong Qin, Hai-Yun Zhou, Kang, Shin Min
Publication date: 26 October 2009
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-008-0126-4
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Strong convergence theorem for pseudo-contractive mappings in Hilbert spaces ⋮ Strong convergence of shrinking projection methods for a family of pseudocontractive mappings in Hilbert spaces ⋮ Hybrid projection algorithms for treating common fixed points of a family of demicontinuous pseudocontractions ⋮ Strong convergence by a hybrid algorithm for finding a common fixed point of Lipschitz pseudocontraction and strict pseudocontraction in Hilbert spaces ⋮ Strong convergence of hybrid algorithm for asymptotically nonexpansive mappings in Hilbert spaces
Cites Work
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Convergence theorems of iterative algorithms for continuous pseudocontractive mappings
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Convergence of approximants for demicontinuous pseudo-contractive maps in Hilbert spaces
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Iterative methods for strict pseudo-contractions in Hilbert spaces
- On a Mann type implicit iteration process for continuous pseudo-contractive mappings
- Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces
- Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
- Strong convergence of the CQ method for fixed point iteration processes
- Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- Construction of fixed points of nonlinear mappings in Hilbert space
- Fixed point iteration for pseudocontractive maps
- FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
- Mean Value Methods in Iteration
