Convergence theorems of a new iteration for two nonexpansive mappings

DOI10.1186/1029-242X-2014-82zbMath1309.47074WikidataQ59324252 ScholiaQ59324252MaRDI QIDQ2258744

Hongxia Du, Xue-Ping Hou

Publication date: 26 February 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

nonexpansive mappingcommon fixed pointscondition (A)weak and strong convergencesemicompact

Mathematics Subject Classification ID

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

Cites Work

• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings.
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• WEAK AND STRONG CONVERGENCE FOR QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Approximating fixed points by ishikawa iterates
• Fixed point iteration for pseudocontractive maps
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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