Three-Step Iterative Algorithm for a Pair of Total Asymptotically Nonexpansive Mappings in Uniformly Convex Metric Spaces

被引：0

作者：

Fukhar-ud-din, Hafiz ^{[1
,2
]}

Khan, Safeer Hussain ^{[3
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Islamia Univ Bahawalpur, Dept Math, Bahawalpur 63100, Pakistan

[3] Qatar Univ, Dept Math Stat & Phys, Doha 2713, State Of Qatar, Qatar

来源：

FILOMAT | 2017年 / 31卷 / 11期

关键词：

Convex metric space; an iterative algorithm; total asymptotically nonexpansive mapping; common fixed point; boolean AND-convergence and strong convergence; FIXED-POINT ITERATIONS; STRONG-CONVERGENCE; APPROXIMATION; THEOREMS; ERRORS; SCHEME; WEAK;

D O I：

10.2298/FIL1711573F

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and study a three-step iterative algorithm for a pair of total asymptotically nonexpansive mappings in a uniformly convex metric space. The proposed algorithm includes Mann and Ishikawa iterative algorithms, the iterative algorithm of Khan and Takahashi [13] and the three-step iterative algorithm of Xu and Noor [26] as special cases. Our results are new and generalize several recent results in Hilbert spaces, uniformly convex Banach spaces and CAT (0) spaces, simultaneously.

引用

页码：3573 / 3583

页数：11

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