Approximation of Common Fixed Points of Family of Asymptotically Nonexpansive Mappings

被引：0

作者：

Ofoedu, Eric U. ^{[1
]}

Zegeye, Habtu ^{[2
]}

Shahzad, Naseer ^{[3
]}

机构：

[1] Nnamdi Azikiwe Univ, Dept Math, Awka, Anambra, Nigeria

[2] Univ Botswana, Dept Math, Gaborone, Botswana

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

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2013年 / 36卷 / 03期

关键词：

Demiclosedness principle; infinite family of asymptotically non-expansive nonself-mapping; modulus of convexity; modified W-mapping; IMPLICIT ITERATION PROCESS; NONLINEAR ERGODIC THEOREM; STRONG-CONVERGENCE; WEAK-CONVERGENCE; FINITE FAMILY; SEQUENCES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new iteration process for approximation of common fixed point of countably infinite family of nonself asymptotically nonexpansive mappings in uniformly convex Banach spaces, and prove weak and strong convergence of our iteration process to a common fixed point of these operators. Our theorems extend, generalize and unify many recently announced results. Our iteration process, corollaries and methods of proof are of independent interest.

引用

页码：611 / 624

页数：14

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