Iterative algorithms with variable coefficients for asymptotically strict pseudocontractions

DOI10.1155/2010/948529zbMath1202.47074OpenAlexW1971525013WikidataQ59251209 ScholiaQ59251209MaRDI QIDQ963634

Ci-Shui Ge, Jin Liang, Ti-Jun Xiao

Publication date: 13 April 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231844

zbMATH Keywords

real Hilbert spacesasymptotically strict pseudocontractionsCQ-type iterative algorithms

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (3)

Strong convergence of iterative algorithms with variable coefficients for asymptotically strict pseudocontractive mappings in the intermediate sense and monotone mappings ⋮ Iterative algorithms with variable coefficients for multivalued generalized \(\Phi \)-hemicontractive mappings without generalized Lipschitz assumption ⋮ A hybrid algorithm with variable coefficients for asymptotically pseudocontractive mappings in the intermediate sense on unbounded domains

Cites Work

• Demiclosedness principle and convergence theorems for \(k\)-strictly asymptotically pseudocontractive maps
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Strong convergence theorems for a finite family of asymptotically nonexpansive mappings and semigroups
• A hybrid iterative scheme for asymptotically \(k\)-strict pseudo-contractions in Hilbert spaces
• Convergence theorems of new Ishikawa iterative procedures with errors for multi-valued \(\Phi \)-hemicontractive mappings
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions
• Strong convergence of the CQ method for fixed point iteration processes
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings

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