Asymptotic behavior of quasi-nonexpansive mappings

Dan Butnariu; Simeon Reich; Alexander J. Zaslavski

doi:10.1016/S1570-579X(01)80006-9

Asymptotic behavior of quasi-nonexpansive mappings

Dan Butnariu, Simeon Reich, Alexander J. Zaslavski

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Let K be a closed convex subset of a Banach space X and let F be a nonempty closedconvex subset of K. We consider complete metric spaces of self-mappings of K which fix all the points of F and are quasi-nonexpansive with respect to a given convex function f on X. We prove (under certain assumptions on f) that the iterates of a generic mapping in these spaces converge strongly to a retraction on F.

Original language	English
Title of host publication	Studies in Computational Mathematics
Publisher	Elsevier
Pages	49-68
Number of pages	20
Edition	C
DOIs	https://doi.org/10.1016/S1570-579X(01)80006-9
State	Published - 2001

Publication series

Name	Studies in Computational Mathematics
Number	C
Volume	8
ISSN (Print)	1570-579X

ASJC Scopus subject areas

Computational Mathematics

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10.1016/S1570-579X(01)80006-9

Cite this

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Asymptotic behavior of quasi-nonexpansive mappings

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