THE CONVERGENCE THEOREMS FOR COMMON FIXED POINTS OF UNIFORMLY L-LIPSCHITZIAN ASYMPTOTICALLY Φ-PSEUDOCONTRACTIVE MAPPINGS

DOI10.4134/BKMS.2010.47.2.295zbMath1226.47093MaRDI QIDQ3552243

Zhiqun Xue

Publication date: 14 April 2010

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

strong convergencefixed pointmodified Ishikawa iterative processmodified Mann iterative processuniformly L-Lipschitzianasymptotically \(\Phi\)-pseudocontractive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

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

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