Convergence Theorem of Inertial P-iteration Method for a Family of Nonexpansive Mappings with Applications

被引：0

作者：

Kaewkhao, Attapol ^{[1
]}

Bussaban, Limpapat ^{[2
]}

Suantai, Suthep ^{[3
]}

机构：

[1] Chiang Mai Univ, Dept Math, Res Ctr Math & Appl Math, Fac Sci, Chiang Mai 50200, Thailand

[2] Chiang Mai Univ, Dept Math, Fac Sci, Grad PhD Degree Program Math, Chiang Mai 50200, Thailand

[3] Chiang Mai Univ, Dept Math, Data Sci Res Ctr, Fac Sci, Chiang Mai 50200, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 04期

关键词：

P-iteration; nonexpansive mapping; FIXED-POINTS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, an algorithm called inertial P-iteration method is proposed for finding a common fixed point of a family of nonexpansive mappings and proved under some suitable conditions that the sequence generated by the proposed method weakly converges to a common fixed point of a family of nonexpansive mappings. In application, our method can be applied for finding zero point of sum of two monotone operators and minizer of sum of two convex functions.

引用

页码：1743 / 1751

页数：9

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