The equivalence between the convergence of the modified Mann and Ishikawa iterations for asymptotically pseudocontractive mappings obtained by dropping the bounded assumption

DOI10.1186/1029-242X-2014-293zbMath1366.47016WikidataQ59323323 ScholiaQ59323323MaRDI QIDQ2263364

Guiwen Lv, Zhiqun Xue

Publication date: 18 March 2015

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

zbMATH Keywords

Banach spacesfixed pointasymptotically pseudocontractive mappingsmodified Mann iteration with errors

Mathematics Subject Classification ID

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

Cites Work

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• Iterative construction of fixed points of asymptotically nonexpansive mappings
• The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically pseudocontractive map.
• Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space
• THE CONVERGENCE THEOREMS FOR COMMON FIXED POINTS OF UNIFORMLY L-LIPSCHITZIAN ASYMPTOTICALLY Φ-PSEUDOCONTRACTIVE MAPPINGS
• The equivalence among the modified Mann-Ishikawa and Noor iterations for uniformly L-Lipschitzian mappings in Banach spaces
• Fixed Points by a New Iteration Method
• Mean Value Methods in Iteration
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings

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