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.

引用

页数：11

共 50 条

[1] A unified algorithm for finding a fixed point of demicontractive mappings and its application to split common fixed point problem
Satit Saejung
Rapeepan Kraikaew
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
[2] The split common fixed-point problem for demicontractive mappings
Moudafi, A.
[J]. INVERSE PROBLEMS, 2010, 26 (05)
[3] The split common fixed point problem for multivalued demicontractive mappings and its applications
Pachara Jailoka
Suthep Suantai
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 689 - 706
[4] The split common fixed point problem for multivalued demicontractive mappings and its applications
Jailoka, Pachara
Suantai, Suthep
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (02) : 689 - 706
[5] General algorithms for split common fixed point problem of demicontractive mappings
Eslamian, Mohammad
[J]. OPTIMIZATION, 2016, 65 (02) : 443 - 465
[6] The Split Common Fixed Point Problem for Demicontractive Mappings in Banach Spaces
Yang, Li
Zhao, Fuhai
Kim, Jong Kyu
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (05) : 858 - 863
[7] A Cyclic Algorithm for the Split Common Fixed Point Problem of Demicontractive Mappings in Hilbert Spaces
Tang, Yu-Chao
Peng, Ji-Gen
Liu, Li-Wei
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2012, 17 (04) : 457 - 466
[8] The split common fixed point problem for infinite families of demicontractive mappings
Hanjing A.
Suantai S.
[J]. Fixed Point Theory and Applications, 2018 (1)
[9] THE SPLIT FIXED POINT PROBLEM FOR DEMICONTRACTIVE MAPPINGS AND APPLICATIONS
Hanjing, Adisak
Suantai, Suthep
[J]. FIXED POINT THEORY, 2020, 21 (02): : 507 - 524
[10] The Split Common Fixed Point Problem of two Infinite Families of Demicontractive Mappings and the Split Common Null Point Problem
Abkar, Ali
Shahrosvand, Elahe
[J]. FILOMAT, 2017, 31 (12) : 3859 - 3874

← 1 2 3 4 5 →