Strong Convergence Theorems for Quasi-Nonexpansive Mappings and Uniformly L-Lipschitzian Asymptotically Pseudo-Contractive Mappings in Banach Spaces

被引：1

作者：

Pathak, Hemant Kumar ^{[1
]}

Sahu, Vinod Kumar ^{[2
]}

机构：

[1] Pandit Ravishankar Shukla Univ, Sch Studies Math, Raipur, Chhattisgarh, India

[2] Govt VYT PG Autonomous Coll, Dept Math, Durg 491001, Chhattisgarh, India

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2018年 / 39卷 / 04期

关键词：

Asymptotically nonexpansive mapping; asymptotically pseudocontractive mapping; fixed point; normalized duality mapping; quasi-nonexpansive mapping; uniformly L-Lipschitzian; weak uniformly L-Lipschitzian mapping; FIXED-POINTS; EQUATIONS; OPERATORS; SET;

D O I：

10.1080/01630563.2017.1377228

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new S-generated Ishikawa iteration with errors is proposed for a pair of quasi-nonexpansive mapping and uniformly L-Lipschitzian asymptotically pseudo-contractive mapping in real Banach spaces. We show that the proposed iterative scheme converges strongly to a common solution of quasi-nonexpansive mapping and uniformly L-Lipschitzian asymptotically pseudo-contractive mapping in real Banach spaces. A comparison table is prepared using a numeric example which shows that the proposed iterative algorithm is faster than some known iterative algorithms.

引用

页码：449 / 466

页数：18

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