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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