Split common fixed point problems for demicontractive operators

被引：30

作者：

Padcharoen, Anantachai ^{[1
,2
]}

Kumam, Poom ^{[1
,2
,3
]}

Cho, Yeol Je ^{[2
,4
,5
]}

机构：

[1] KMUTT, Fac Sci, KMUTT Fixed Point Theory & Applicat Res Grp KMUTT, Theoret & Computat Sci Ctr TaCS, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[2] KMUTT, Fac Sci, KMUTTFixed Point Res Lab, Dept Math, Room SCL 802 Fixed Point Lab,Sci Lab Bldg, Bangkok 10140, Thailand

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[4] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea

[5] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2019年 / 82卷 / 01期

关键词：

Equilibrium problem; Variational inequality; Split equilibrium problem; Split variational inequality; Split common fixed point problem; Demicontractive mapping; GENERALIZED EQUILIBRIUM PROBLEMS; STRONG-CONVERGENCE THEOREMS; VARIATIONAL-INEQUALITIES; ITERATIVE METHODS; PROJECTION ALGORITHMS; APPROXIMATION METHODS; CYCLIC ALGORITHM; MAPPINGS;

D O I：

10.1007/s11075-018-0605-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, first, we introduce a new iterative algorithm involving demicontractive mappings in Hilbert spaces and, second, we prove some strong convergence theorems of the proposed method with the Armijo-line search to show the existence of a solution of the split common fixed point problem. Finally, we give some numerical examples to illustrate our main results.

引用

页码：297 / 320

页数：24

共 50 条

[1] Split common fixed point problems for demicontractive operators
Anantachai Padcharoen
Poom Kumam
Yeol Je Cho
[J]. Numerical Algorithms, 2019, 82 : 297 - 320
[2] Split common fixed point and null point problems for demicontractive operators in Hilbert spaces
Jailoka, Pachara
Suantai, Suthep
[J]. OPTIMIZATION METHODS & SOFTWARE, 2019, 34 (02): : 248 - 263
[3] Further Investigation into Split Common Fixed Point Problem for Demicontractive Operators
Yekini SHEHU
Oluwatosin TMEWOMO
[J]. ActaMathematicaSinica, 2016, 32 (11) : 1357 - 1376
[4] Further Investigation into Split Common Fixed Point Problem for Demicontractive Operators
Yekini SHEHU
Oluwatosin T.MEWOMO
[J]. Acta Mathematica Sinica,English Series, 2016, 32 (11) : 1357 - 1376
[5] Further investigation into split common fixed point problem for demicontractive operators
Yekini Shehu
Oluwatosin T. Mewomo
[J]. Acta Mathematica Sinica, English Series, 2016, 32 : 1357 - 1376
[6] Another look at the split common fixed point problem for demicontractive operators
Shehu, Yekini
Cholamjiak, Prasit
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2016, 110 (01) : 201 - 218
[7] Further Investigation into Split Common Fixed Point Problem for Demicontractive Operators
Shehu, Yekini
Mewomo, Oluwatosin T.
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 32 (11) : 1357 - 1376
[8] On split null point and common fixed point problems for multivalued demicontractive mappings
Wang, Yaqin
Fang, Xiaoli
Guan, Jin-Lin
Kim, Tae-Hwa
[J]. OPTIMIZATION, 2021, 70 (5-6) : 1121 - 1140
[9] Viscosity Methods and Split Common Fixed Point Problems for Demicontractive Mappings
Wang, Yaqin
Fang, Xiaoli
Kim, Tae-Hwa
[J]. MATHEMATICS, 2019, 7 (09)
[10] An algorithmic approach to solving split common fixed point problems for families of demicontractive operators in Hilbert spaces
H. A. Abass
M. Aphane
[J]. Bollettino dell'Unione Matematica Italiana, 2024, 17 : 119 - 134

← 1 2 3 4 5 →