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
收藏
页码：3573 / 3583
页数：11
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