Hadamard流形上非扩张映射的隐式粘性迭代算法

IF 0.9 4区数学 Q2 MATHEMATICS

Fixed Point Theory Pub Date : 2023-02-01 DOI:10.24193/fpt-ro.2023.1.10

Huimin He, Jigen Peng, Haiyang Li

引用次数: 4

摘要

．本文提出并研究了Hadamard流形上非膨胀映射的隐式黏度迭代算法。在Hadamard流形上建立了非扩张映射不动点的收敛定理。证明了不动点还能解一个变分不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Implicit viscosity iterative algorithm for nonexpansive mapping on Hadamard manifolds

. In this paper, an implicit viscosity iterative algorithm for nonexpansive mappings is proposed and investigated on Hadamard manifolds. A convergence theorem of a ﬁxed point of a nonexpansive mapping is established on Hadamard manifolds. It is proved that the ﬁxed point also solves a variational inequality.

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来源期刊

Fixed Point Theory 数学-数学

CiteScore

2.30

自引率

9.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Fixed Point Theory publishes relevant research and expository papers devoted to the all topics of fixed point theory and applications in all structured set (algebraic, metric, topological (general and algebraic), geometric (synthetic, analytic, metric, differential, topological), ...) and in category theory. Applications to ordinary differential equations, partial differential equations, functional equations, integral equations, mathematical physics, mathematical chemistry, mathematical biology, mathematical economics, mathematical finances, informatics, ..., are also welcome.