Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces

DOI10.1155/FPTA/2006/59692zbMath1121.47058WikidataQ59212404 ScholiaQ59212404MaRDI QIDQ884245

Tomonari Suzuki

Publication date: 13 June 2007

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

Full work available at URL: https://eudml.org/doc/53457

zbMATH Keywords

fixed pointsstrong convergencesunny retraction

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (1)

Moudafi's viscosity approximations with Meir--Keeler contractions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Browder's type convergence theorems for one-parameter semigroups of nonexpansive mappings in Banach spaces
• On Reich's strong convergence theorems for resolvents of accretive operators
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Product formulas, nonlinear semigroups, and accretive operators
• A common fixed point theorem for a commuting family of nonexpansive mappings
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Asymptotic behavior of contractions in Banach spaces
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• The set of common fixed points of an \(n\)-parameter continuous semigroup of mappings
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Nonexpansive retracts of Banach spaces
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
• The set of common fixed points of a one-parameter continuous semigroup of mappings is 𝐹\big(𝑇(1)\big)∩𝐹\big(𝑇(√2)\big)

This page was built for publication: Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces