On Successive Approximations for Compact-Valued Nonexpansive Mappings-Reference-Cited by-同舟云学术

On Successive Approximations for Compact-Valued Nonexpansive Mappings

Published:2023-07-18 Issue:3 Volume:31 Page:
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Var. Anal

Author:

Medjic Emir^ORCID

Abstract

AbstractWe show that for a given initial point the typical, in the sense of Baire category, nonexpansive compact valued mapping F has the following properties: there is a unique sequence of successive approximations and this sequence converges to a fixed point of F. In the case of separable Banach spaces we show that for the typical mapping there is a residual set of initial points that have a unique trajectory.

Funder

Austrian Science Fund

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s11228-023-00684-1.pdf

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