Convergence analysis of iterative sequences for a pair of mappings in Banach spaces

DOI10.1007/s10114-007-1002-0zbMath1153.47060OpenAlexW2396172519MaRDI QIDQ943488

Jen-Chih Yao, Lu-Chuan Ceng, Ngai-Ching Wong

Publication date: 9 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-1002-0

zbMATH Keywords

convergence analysisquasi-nonexpansive mappingiterative sequenceasymptotically demicontractive type mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Positive solutions of fractional differential equation nonlocal boundary value problems ⋮ A modified mixed Ishikawa iteration for common fixed points of two asymptotically quasi pseudocontractive type non-self-mappings

Cites Work

• On Naimpally and Singh's open questions
• Iterative construction of fixed points of asymptotically nonexpansive mappings
• Comments on two fixed point iteration methods
• Iterative approximation of fixed points of asymptotically demicontractive mappings
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Iterative sequence for asymptotically demicontractive maps in Banach spaces
• Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
• Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings
• A linear operator and associated families of meromorphically multivalent functions
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