Faster multistep iterations for the approximation of fixed points applied to Zamfirescu operators

DOI10.1155/2013/464593zbMath1290.47067OpenAlexW2064172197WikidataQ58916336 ScholiaQ58916336MaRDI QIDQ2015563

Faisal Ali, Young-Chel Kwun, Arif Rafiq, Ljubomir B. Ćirić, Kang, Shin Min

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/464593

zbMATH Keywords

fixed pointsZamfirescu operatormultistep iteration

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

On Berinde's method for comparing iterative processes ⋮ Fixed points of α-dominated mappings on dislocated quasi metric spaces

Cites Work

• Unnamed Item
• Comments on the rate of convergence between Mann and Ishikawa iterations applied to Zamfirescu operators
• The equivalence between Mann-Ishikawa iterations and multistep iteration
• Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
• Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
• A CONVERGENCE THEOREM FOR SOME MEAN VALUE FIXED POINT ITERATION PROCEDURES
• Fixed Points by a New Iteration Method
• Mean Value Methods in Iteration
• Fixed point theorems in metric spaces

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