On equivalence of some iterations convergence for quasi-contraction maps in convex metric spaces

DOI10.1155/2010/252871zbMath1206.54069OpenAlexW2156920658WikidataQ59254513 ScholiaQ59254513MaRDI QIDQ610888

Zhiqun Xue, Guiwen Lv, Billy E. Rhoades

Publication date: 13 December 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224565

zbMATH Keywords

Picard iterationsIshikawa iterationsconvex metric spacesequivalence of convergenceKrasnoselskij iterationsMann iterationsquasi-contraction mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

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• A note on the Ishikawa iteration scheme
• A convexity in metric space and nonexpansive mappings. I.
• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
• A Generalization of Banach's Contraction Principle
• Fixed point theorems in metric spaces