A recent fixed point method based on two inertial terms

被引：2

作者：

Inkrong, Papatsara ^{[1
]}

Paimsang, Papinwich ^{[1
]}

Cholamjiak, Prasit ^{[1
]}

机构：

[1] Univ Phayao, Sch Sci, Phayao 56000, Thailand

来源：

JOURNAL OF ANALYSIS | 2025年 / 33卷 / 02期

关键词：

Fixed point iteration; Nonexpansive mapping; Inertial extrapolation; Weak convergence; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; ALGORITHM; FAMILIES; WEAK;

D O I：

10.1007/s41478-024-00845-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a new fixed point method for a family of nonexpansive mappings. Our approach uses two inertial extrapolations and SP iteration to provide a high convergence speed of the proposed algorithm. We establish a weak convergence theorem under mild conditions. Moreover, we conduct numerical tests on signal recovery as practical applications. The experimental results demonstrate that our algorithm has a superior performance compared to other algorithms in the literature.

引用

收藏

页码：521 / 535

页数：15

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