A unified algorithm for finding a fixed point of demicontractive mappings and its application to split common fixed point problem

被引：0
|
作者：
Saejung, Satit [1 ,2 ]
Kraikaew, Rapeepan [1 ]
机构：
[1] Khon Kaen Univ, Dept Math, Fac Sci, Khon Kaen 40002, Thailand
[2] Khon Kaen Univ, Res Ctr Environm & Hazardous Subst Management EHS, Khon Kaen 40002, Thailand
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 04期
关键词：
Demicontractive mapping; Nonexpansive mapping; Split common fixed point problem; Fixed point problem; Mann iteration; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; COUNTABLE FAMILY; APPROXIMATION;
D O I：
10.1007/s13398-022-01336-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present an algorithm that unifies various algorithms for finding a common fixed point of a family of demicontractive mappings as well as split common fixed point problem proposed by Thong and Hieu (J Fixed Point Theory Appl 20(2, Paper No. 73):27, 2018, https://doi.org/10.1007/s11784-018-0551-4) and Shehu and Cholamjiak (Rev R Acad Cienc Exactas Fis Nat Set A Mat 110(1):201-218, 2016, https://doi.org/10.1007/s13398-015-0231-9) . Moreover, we give an improvement of the result of Thong and Hieu. We also discuss an algorithm concerning a class of mappings that beyonds the scope of those aforementioned papers. Finally, we discuss and improve the result of Yao and Cho (Math Model Anal 15(2):265-274, 2010, https://doi.org/10.3846/1392-6292.2010.15.265-274) which has a connection to the work of Shehu and Cholamjiak.
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页数：11
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