Convergence of Ishikawa-type iterative sequence with errors for quasi-contractive mappings in convex metric spaces

DOI10.1007/BF02437710zbMath1022.47047OpenAlexW2051214219MaRDI QIDQ1863991

You-Xian Tian, Shi Sheng Zhang

Publication date: 28 October 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02437710

zbMATH Keywords

fixed pointconvex metric spacegeneral quasicontractive mappinggeneralised Ishikawa iterative sequence with errors

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25)

Cites Work

• On Naimpally and Singh's open questions
• Extensions of some fixed point theorems of Rhoades
• A note on the Ishikawa iteration scheme
• Comments on two fixed point iteration methods
• Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces
• Convergence theorems for strongly pseudo-contractive and strongly accretive maps
• Convergence of an Ishikawa-type iteration scheme for a generalized contraction
• A convergence theorem of the sequence of Ishikawa iterates for quasi- contractive mappings
• A convexity in metric space and nonexpansive mappings. I.
• A Generalization of Banach's Contraction Principle
• Global iteration schemes for strongly pseudo-contractive maps