Approximation of nearest common fixed point of nonexpansive mappings in Hilbert spaces

DOI10.1007/s10114-005-0821-0zbMath1189.47072OpenAlexW2031360335MaRDI QIDQ2465544

Chi Kin Chan, H. W. Joseph Lee, Shi Sheng Zhang

Publication date: 4 January 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0821-0

zbMATH Keywords

iterative schemecommon fixed pointnearest point projectionfamily of nonexpansive mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

Halpern iteration in CAT\((\kappa)\) spaces

Cites Work

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• Approximation of fixed points of nonexpansive mappings
• Strong convergence to common fixed points of families of nonexpansive mappings
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• An iterative approach to quadratic optimization
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
• CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
• Fixed points of nonexpanding maps

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