Banach空间中增生算子的黏度逼近方法

IF 2.5 2区数学 Q1 MATHEMATICS

Journal of Nonlinear and Variational Analysis Pub Date : 2022-01-01 DOI:10.23952/jnva.6.2022.1.03

Xu Hong-kun, N. Altwaijry, I. Alzughaibi, S. Chebbi

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引用次数: 1

摘要

我们将黏性近似方法(VAM)推广到一致凸和/或一致gaux可微Banach空间X中的增生算子(通过它们的解析)，以求一个m-增生算子和两个m-增生算子和的零。在所有情况下，我们证明了我们的VAM算法的强收敛性，并确定了迭代的极限为唯一的sunny非扩张缩回到算子的零集上。

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The viscosity approximation method for accretive operators in Banach spaces

We extend the viscosity approximation method (VAM) to accretive operators (via their resolvents) in a uniformly convex and/or uniformly Gâteaux differentiable Banach space X to find a zero of an m-accretive operator and of the sum of two m-accretive operators. In all cases, we prove the strong convergence of our VAM algorithms and the limit of the iterates is identified as the unique sunny nonexpansive retraction onto to the zero set of the operator.

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来源期刊

Journal of Nonlinear and Variational Analysis Multiple-

CiteScore

3.30

自引率

3.40%

发文量