A necessary and sufficient condition for the strong convergence of nonexpansive mappings in Banach spaces

DOI10.1186/1687-1812-2014-106zbMath1326.47100OpenAlexW2123459910WikidataQ59323716 ScholiaQ59323716MaRDI QIDQ2264168

Shuang Wang, Qian, Dingbian

Publication date: 20 March 2015

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-106

zbMATH Keywords

fixed pointsstrong convergencenonexpansive mapping2-uniformly smooth Banach spaces\(\eta\)-strongly accretive

Mathematics Subject Classification ID

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

Cites Work

• Convergence of hybrid steepest-descent methods for variational inequalities
• A general iterative algorithm for nonexpansive mappings in Hilbert spaces
• Zeros of accretive operators
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Iterative Algorithms for Nonlinear Operators
• Inequalities in Banach spaces with applications
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