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Inexact orbits of nonexpansive mappings with nonsummable errors

Inexact orbits of nonexpansive mappings with nonsummable errors Given a nonexpansive mapping which maps a closed subset of a complete metric space into the space, we study the convergence of its inexact iterates to its fixed point set in the case where the errors are nonsummable. Previous results in this direction concerned nonexpansive self-mappings of the complete metric space and inexact iterates with summable errors. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Inexact orbits of nonexpansive mappings with nonsummable errors

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Publisher
Springer Journals
Copyright
Copyright © Springer Nature Switzerland AG 2020
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-020-00363-6
Publisher site
See Article on Publisher Site

Abstract

Given a nonexpansive mapping which maps a closed subset of a complete metric space into the space, we study the convergence of its inexact iterates to its fixed point set in the case where the errors are nonsummable. Previous results in this direction concerned nonexpansive self-mappings of the complete metric space and inexact iterates with summable errors.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Apr 6, 2020

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