Approximation of a common fixed point of two nonlinear mappings with nonsummable errors in a Banach space

Approximation of a common fixed point of two nonlinear mappings with nonsummable errors in a Banach space
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Banach 空间中两个具有不可求和误差的非线性映射的公共不动点的近似

DOI:
10.1007/978-981-15-5455-1_15
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发表时间:
2020
期刊:
Differential Geometry, Algebra and Analysis, Springer Proceedings in Mathematics & Statistics
影响因子:
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通讯作者:
S. Kajiba and Y. Kimura
S. Kajiba and Y. Kimura
中科院分区:
--
文献类型:
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作者:
T. Ibaraki;S. Kajiba and Y. Kimura

文献摘要

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本文研究一致凸一致光滑Banach空间中两个具误差的非线性映象的迭代格式。我们认为,包含度量投影值获取误差的序列仍然具有逼近两个映射的公共不动点的有效性质。此外,我们证明了Banach空间中两个映象的公共不动点的一个收敛定理。
In this paper, we study an iterative scheme for two nonlinear mappings with errors in a uniformly convex and uniformly smooth Banach space. We consider that the sequence including errors for obtaining the value of metric projection still has an efficient property for approximating a common fixed point of two mappings. Moreover, we prove a convergence theorem for a common fixed point of two mappings in a Banach space.