Approximation of Fixed Points for Suzuki's Generalized Non-Expansive Mappings

被引：17

作者：

Ali, Javid ^{[1
]}

Ali, Faeem ^{[1
]}

Kumar, Puneet ^{[2
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[2] Fiji Natl Univ, Dept Math & Stat, POB 3722, Samabula, Fiji

来源：

MATHEMATICS | 2019年 / 7卷 / 06期

关键词：

Suzuki's generalized non-expansive mappings; iterative schemes; fixed points; weak and strong convergence results; uniformly convex Banach space; CONVERGENCE; THEOREMS; SCHEME; WEAK;

D O I：

10.3390/math7060522

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a three step iterative scheme to approximate fixed points of Suzuki's generalized non-expansive mappings. We establish some weak and strong convergence results for such mappings in uniformly convex Banach spaces. Further, we show numerically that the considered iterative scheme converges faster than some other known iterations for Suzuki's generalized non-expansive mappings. To support our claim, we give an illustrative numerical example and approximate fixed points of such mappings using Matlab program. Our results are new and generalize several relevant results in the literature.

引用

页数：11

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