Strong convergence theorems by shrinking projection methods for class \(\mathcal I\) mappings

DOI10.1155/2011/681214zbMath1215.47067OpenAlexW2006301267WikidataQ59267074 ScholiaQ59267074MaRDI QIDQ536883

Qiao-Li Dong, Songnian He, Fang Su

Publication date: 19 May 2011

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

Full work available at URL: https://eudml.org/doc/228136

zbMATH Keywords

strong convergencenonexpansive mappingHilbert spacesshrinking projection method\(\mathcal I\) mappings

Mathematics Subject Classification ID

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

Related Items (1)

Strong convergence by the shrinking effect of two half-spaces and applications

Cites Work

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• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Strong convergence of the CQ method for fixed point iteration processes
• A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces

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