Common Fixed Point Iterations of Non-Lipschitzian Mappings in a Convex Metric Space

被引：3

作者：

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

Nieto, Juan J. ^{[3
,4
]}

Khan, Abdul Rahim ^{[1
]}

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] Univ Santiago de Compostela, Fac Math, Santiago De Compostela 15782, Spain

[4] King Abdulaziz Univ, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 04期

关键词：

Uniformly convex metric space; non-Lipschitzian mapping; common fixed point; Condition (B); convergence; ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; MANN ITERATION; THEOREM; ERRORS;

D O I：

10.1007/s00009-015-0619-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish strong convergence of the modified Moudafi iterative scheme to a common fixed point of an asymptotically nonexpansive mapping in the intermediate sense and an asymptotically quasi-nonexpansive type mapping on a uniformly convex metric space. Our results either improve or generalize the corresponding results of Kim (Arab J Math 2:279-286, 2013), Kim and Kim (Comput Math Appl 42:1565-1570, 2001) and Rhoades (J Math Anal Appl 183:118-120, 1994).

引用

页码：2061 / 2071

页数：11

共 50 条

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[J]. Mediterranean Journal of Mathematics, 2016, 13 : 2061 - 2071
[2] Common Fixed Point of Modified Noor Iterations with Errors for Non-Lipschitzian Mappings in Banach Spaces
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[4] Approximating Fixed Points of Non-Lipschitzian Mappings by Metric Projections
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