The purpose of this paper is to introduce and analyze the shrinking projection algorithm with errors for a finite set of costerro bounded linear mappings in the setting of uniformly convex smooth Banach spaces. Here, under finite dimensional or compactness restriction or the error term being zero, the strong limit point of the sequence stated in the iterative scheme for these mappings in uniformly convex smooth Banach spaces was studied. This paper extends Ezearn and Prempeh’s result for nonexpansive mappings in real Hilbert spaces.

中文翻译：

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Costerro有界线性映射的带误差的收缩投影算法

本文的目的是介绍和分析在均匀凸光滑Banach空间中有限的Costerro有界线性映射集的带误差的收缩投影算法。在此，在有限尺寸或紧致性约束或误差项为零的情况下，研究了在均匀凸光滑Banach空间中这些映射的迭代方案中规定的序列的强极限点。本文扩展了Ezearn和Prempeh关于实希尔伯特空间中非膨胀映射的结果。