Weak and strong convergence theorems of an implicit iteration process for a countable family of nonexpansive mappings
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Publication:1008516
DOI10.1155/2008/732193zbMath1167.47305OpenAlexW2020911991WikidataQ59216469 ScholiaQ59216469MaRDI QIDQ1008516
Weerayuth Nilsrakoo, Kittikorn Nakprasit, Satit Saejung
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/55840
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Strong convergence theorems for a countable family of Lipschitzian mappings ⋮ Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space ⋮ The Krasnosel'skiĭ-Mann algorithm for a countable family of non-self Lipschitzian mappings ⋮ Strong convergence theorems of modified Ishikawa iterations for countable hemi-relatively nonexpansive mappings in a Banach space ⋮ Strong convergence theorems based on the viscosity approximation method for a countable family of nonexpansive mappings
Cites Work
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- Three-step methods for nonexpansive mappings and variational inequalities
- On modified iterative method for nonexpansive mappings and monotone mappings
- Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
- Weak and strong convergence theorems for countable Lipschitzian mappings and its applications
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Equilibrium programming using proximal-like algorithms
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- An extragradient method for fixed point problems and variational inequality problems
- Strong convergence of modified implicit iteration processes for common fixed points of nonexpansive mappings
- Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space
- Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
- AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
- Weak convergence of the sequence of successive approximations for nonexpansive mappings