Stability of iterative procedures with errors for approximating common fixed points of quasi-contractive mappings

DOI10.1080/00036810412331284374zbMath1081.47066OpenAlexW2058566754MaRDI QIDQ4655414

H. J. Hwang, Jun Li, Yeol Je Cho, Nan-Jing Huang

Publication date: 11 March 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810412331284374

zbMATH Keywords

stabilitycouple of quasi-contractive mappingsiterative sequences with random errors

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Convergence and divergence of series and sequences (40A05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• On Naimpally and Singh's open questions
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• On estimation and control of errors of the Mann iteration process
• Convergence of iterative processes with errors for set-valued pseudocontractive and accretive type mappings in Banach spaces
• Stability of iterative procedures with errors approximating common fixed points for a couple of quasi-contractive mappings in \(q\)-uniformly smooth Banach spaces
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings
• A perturbed iterative procedure for multivalued pseudo-contractive mappings and multivalued accretive mappings in Banach spaces
• A convergence theorem of the sequence of Ishikawa iterates for quasi- contractive mappings
• STABILITY OF ITERATIVE PROCESSES WITH ERRORS FOR NONLINEAR EQUATIONS OF φ-STRONGLY ACCRETIVE TYPE OPERATORS
• Random fixed point theorem in probabilistic analysis
• A Generalization of Banach's Contraction Principle