Fixed point theorems for some new nonlinear mappings in Hilbert spaces

DOI10.1186/1687-1812-2011-51zbMath1315.47044OpenAlexW2151273189WikidataQ59268846 ScholiaQ59268846MaRDI QIDQ362612

Lai-Jiu Lin, Chih-Sheng Chuang, Zenn-Tsuen Yu

Publication date: 22 August 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-51

zbMATH Keywords

fixed pointnonexpansive mappingergodic theoremnonspreading mappingdemiclosed principle

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear ergodic theorems (47H25)

Related Items

The system of mixed equilibrium problems for quasi-nonexpansive mappings in Hilbert spaces, Shrinking projection methods for split common fixed-point problems in Hilbert spaces, Existence and convergence theorems for generalized hybrid mappings in uniformly convex metric spaces, A hybrid iterative method for common solutions of variational inequality problems and fixed point problems for single-valued and multi-valued mappings with applications, Convergence theorems for a finite family of multi-valued strictly pseudo-hybrid mappings in Hilbert spaces, A new iterative algorithm for split solution problems of quasi-nonexpansive mappings, Strong convergence theorems for quasi-nonexpansive mappings and maximal monotone operators in Hilbert spaces

Cites Work

• Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space
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• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Asymptotic behavior of contractions in Hilbert space
• The Fixed Point Property and Unbounded Sets in Hilbert Space
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
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