Strong convergence of Mann type implicit iterative process for demi-continuous pseudo-contractions

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

zbMATH Keywords

strong convergenceHilbert spacehybrid projection algorithmpseudo-contraction

Mathematics Subject Classification ID

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