On the Split Equality Fixed Point Problem of Quasi-Pseudo-Contractive Mappings Without A Priori Knowledge of Operator Norms with Applications

被引：13

作者：

Chang, Shih-sen ^{[1
]}

Yao, Jen-Chih ^{[1
]}

Wen, Ching-Feng ^{[2
,3
]}

Zhao, Liang-cai ^{[4
]}

机构：

[1] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan

[2] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80708, Taiwan

[3] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 80708, Taiwan

[4] Yibin Univ, Dept Math, Yibin 644000, Sichuan, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2020年 / 185卷 / 02期

关键词：

Split equality fixed point problem; Quasi-pseudo-contractive mapping; Demicontractive operator; Quasi-nonexpansive mapping; Directed operator; Firmly nonexpansive mapping; Weak convergence; CQ-ALGORITHM; SETS;

D O I：

10.1007/s10957-020-01651-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we consider the split equality fixed point problem for quasi-pseudo-contractive mappings without a priori knowledge of operator norms in Hilbert spaces, which includes split feasibility problem, split equality problem, split fixed point problem, etc., as special cases. A unified framework for the study of this kind of problems and operators is provided. The results presented in the paper extend and improve many recent results.

引用

页码：343 / 360

页数：18

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