On Generalized Nonexpansive Maps in Banach Spaces

被引：23

作者：

Ullah, Kifayat ^{[1
]}

Ahmad, Junaid ^{[1
]}

de la Sen, Manuel ^{[2
]}

机构：

[1] Univ Sci & Technol, Dept Math, Bannu 28100, Khyber Pakhtunk, Pakistan

[2] Univ Basque Country, Inst Res & Dev Proc, Campus Leioa Bizkaia,POB 644 Bilbao, Leioa 48940, Spain

来源：

COMPUTATION | 2020年 / 8卷 / 03期

关键词：

generalized non-expansive map; demiclosed principle; uniformly convex Banach space; rate of convergence; Banach space; APPROXIMATING FIXED-POINTS; MAPPINGS; CONVERGENCE; THEOREM; WEAK;

D O I：

10.3390/computation8030061

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a very general class of generalized non-expansive maps. This new class of maps properly includes the class of Suzuki non-expansive maps, Reich-Suzuki type non-expansive maps, and generalized alpha-non-expansive maps. We establish some basic properties and demiclosed principle for this class of maps. After this, we establish existence and convergence results for this class of maps in the context of uniformly convex Banach spaces and compare several well known iterative algorithms.

引用

页数：13

共 28 条

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