Convergence to Compact Sets of Inexact Orbits of Nonexpansive Mappings in Banach and Metric Spaces

被引:0
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作者
Evgeniy Pustylnik
Simeon Reich
Alexander J. Zaslavski
机构
[1] The Technion-Israel Institute of Technology,Department of Mathematics
来源
Fixed Point Theory and Applications | / 2008卷
关键词
Natural Number; Compact Subset; Point Theorem; Convex Subset; Fixed Point Theorem;
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学科分类号
摘要
We study the influence of computational errors on the convergence to compact sets of orbits of nonexpansive mappings in Banach and metric spaces. We first establish a convergence theorem assuming that the computational errors are summable and then provide examples which show that the summability of errors is necessary for convergence.
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