Convergence to attractors under perturbations

zbMath1235.54052MaRDI QIDQ662339

Simeon Reich, Zaslavski, Alexander J.

Publication date: 22 February 2012

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1305810735

zbMATH Keywords

metric spaceattractortrajectoryHausdorff distancenonexpansive set-valued mapping

Mathematics Subject Classification ID

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 (11)

CONVERGENCE OF INEXACT INFINITE PRODUCTS OF NONEXPANSIVE MAPPINGS ⋮ Fixed Point and Convergence Results for Nonexpansive Set-Valued Mappings ⋮ Asymptotic behavior of inexact orbits of nonexpansive mappings ⋮ CONVERGENCE OF INEXACT ITERATES OF CONTRACTIVE MAPPINGS IN METRIC SPACES WITH GRAPHS ⋮ Existence and convergence results for Perov contraction mappings ⋮ CONVERGENCE OF INEXACT ITERATES OF UNIFORMLY LOCALLY NONEXPANSIVE MAPPINGS WITH SUMMABLE ERRORS ⋮ Convergence and well-posedness properties of uniformly locally contractive mappings ⋮ A fixed point result for mean nonexpansive mappings ⋮ Unnamed Item ⋮ Convergence of perturbed iterates of set-valued mappings ⋮ Inexact orbits of nonexpansive mappings with nonsummable errors

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