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.
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页码：1743 / 1751
页数：9
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