Approximate fixed points for nonexpansive and quasi-nonexpansive mappings in hyperspaces

DOI10.1155/2009/520976zbMath1203.47059OpenAlexW2169274636WikidataQ59248288 ScholiaQ59248288MaRDI QIDQ2381015

Liu, Zeqing, Kang, Shin Min, Ume, Jeong Sheok

Publication date: 13 April 2010

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

Full work available at URL: https://eudml.org/doc/226282

zbMATH Keywords

convergence resultsIshikawa iteration with errors

Mathematics Subject Classification ID

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

Cites Work

• Some fixed point iteration procedures
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces
• Convergence of the Ishikawa iteration process for nonexpansive mappings
• Multi-valued contraction mappings
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Approximating Fixed Points of Nonexpansive Mappings
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• On the Mann Iterative Process
• Fixed points of quasi-nonexpansive mappings
• Unnamed Item