APPROXIMATION OF NEAREST COMMON FIXED POINTS OF ASYMPTOTICALLY I-NONEXPANSIVE MAPPINGS IN BANACH SPACES

被引：3

作者：

Cho, Yeol Je ^{[1
]}

Hussain, Nawab ^{[2
]}

Pathak, Hemant Kumar ^{[3
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ & Rins, Chinju 660701, South Korea

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[3] Pt Ravishankar Shukla Univ, Sch Studies Math, Raipur 492010, Madhya Pradesh, India

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 26卷 / 03期

关键词：

Uniformly pointwise R-subweakly commuting mappings; uniformly R-subweakly commuting mappings; asymptotically I-nonexpansive mappings; Banach operator pair; strong convergence; G(a)over-capteaux differentiable norm; uniform normal structure;

D O I：

10.4134/CKMS.2011.26.3.483

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new class of uniformly pointwise R-subweakly commuting self-mappings and prove several common fixed point theorems and best approximation results for uniformly pointwise R-subweakly commuting asymptotically I-nonexpansive mappings in normed linear spaces. We also establish some results concerning strong convergence of nearest common fixed points of asymptotically I-nonexpansive mappings in reflexive Banach spaces with a uniformly Gateaux differentiable norm. Our results unify and generalize various known results given by some authors to a more general class of noncommuting mappings.

引用

页码：483 / 498

页数：16

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