非扩张映射的可选迭代方法，收敛速度及其应用

IF 0.6 4区数学 Q3 MATHEMATICS

Journal of Convex Analysis Pub Date : 2009-05-01 DOI:10.14760/OWP-2009-19

V. Colao, Laurentiu Leustean, G. López, Victoria Martín-Márquez

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引用次数: 6

摘要

提出了Banach空间中非扩张映射的几种迭代方法，并证明了它们收敛于不动点问题和变分不等式的公共解。我们用证明技术给出了这种迭代的渐近正则率。给出了收敛结果的一些应用。

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Alternative iterative methods for nonexpansive mappings, rates of convergence and applications

Alternative iterative methods for a nonexpansive mapping in a Banach space are proposed and proved to be convergent to a common solution to a fixed point problem and a variational inequality. We give rates of asymptotic regularity for such iterations using proof-theoretic techniques. Some applications of the convergence results are presented.

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来源期刊

Journal of Convex Analysis 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The concern of this international mathematical journal is to disseminate theoretical knowledge in the field of Convex Analysis and, at the same time, cultivate and extend its applications. In this sense it publishes research articles touching the areas of Calculus of Variations, Control Theory, Measure Theory, Functional Analysis, Differential Equations, Integral Equations, Optimization and Mathematical Programming, and Mathematical Economics. Of particular interest are topics related to nonsmooth analysis, generalized differentiability, and set-valued functions.