Strong convergence theorems for a countable family of Lipschitzian mappings

DOI10.1155/2010/739561zbMath1202.47081OpenAlexW1984745836WikidataQ58649914 ScholiaQ58649914MaRDI QIDQ610878

Satit Saejung, Weerayuth Nilsrakoo

Publication date: 13 December 2010

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225773

Mathematics Subject Classification ID

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

Cites Work

• Weak and strong convergence theorems for countable Lipschitzian mappings and its applications
• Strong convergence theorems for a finite family of asymptotically nonexpansive mappings and semigroups
• Weak and strong convergence theorems of an implicit iteration process for a countable family of nonexpansive mappings
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• An example concerning fixed points
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
• Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Mean Value Methods in Iteration
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