Convergence of perturbed iterates of set-valued mappings

DOI10.1007/s11784-011-0054-zzbMath1236.47059OpenAlexW1998247003MaRDI QIDQ644464

Simeon Reich, Zaslavski, Alexander J.

Publication date: 4 November 2011

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

Full work available at URL: https://doi.org/10.1007/s11784-011-0054-z

zbMATH Keywords

iterationperturbationmetric spaceattractortrajectorynonexpansive multi-valued mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40) Perturbations of nonlinear operators (47H14)

Related Items (1)

\(\mathcal {H}^+\)-multivalued contractions and their application to homotopy theory

Cites Work

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• Convergence to attractors under perturbations
• Generic existence and approximation of fixed points for nonexpansive set-valued maps
• A simple proof of the Banach contraction principle
• Generic existence of fixed points for set-valued mappings
• Inexact orbits of nonexpansive mappings
• Multi-valued contraction mappings
• Stable Convergence Theorems for Infinite Products and Powers of Nonexpansive Mappings
• Asymptotic Behavior of Inexact Orbits for a Class of Operators in Complete Metric Spaces
• The Round‐off Stability of Iterations

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