Existence and Approximation of Fixed Points for Set-Valued Mappings

被引：0
|
作者：
Simeon Reich
AlexanderJ Zaslavski
机构：
[1] The Technion-Israel Institute of Technology,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2010卷
关键词：
Computational Error; Unique Fixed Point; Iterative Sequence; Contractive Type; Nonlinear Functional Analysis;
D O I：
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学科分类号：
摘要：
Taking into account possibly inexact data, we study both existence and approximation of fixed points for certain set-valued mappings of contractive type. More precisely, we study the existence of convergent iterations in the presence of computational errors for two classes of set-valued mappings. The first class comprises certain mappings of contractive type, while the second one contains mappings satisfying a Caristi-type condition.
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