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

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