A NEW ITERATION METHOD FOR FIXED POINT OF NONEXPANSIVE MAPPING IN UNIFORMLY CONVEX BANACH SPACE

被引：1
作者：
Sahu, Omprakash [1 ]
Banerjee, Amitabh [2 ]
Gurudwan, Niyati [2 ]
机构：
[1] Babu Pandhri Rao Kridatt Govt Coll Silouti, Dept Math, Raipur, India
[2] Govt JY Chhattishgarh Coll Raipur, Dept Math, Raipur, India
来源：
KOREAN JOURNAL OF MATHEMATICS | 2022年 / 30卷 / 04期
关键词：
Fixed Point; Uniformly convex Banach space; Contractive like mapping; Nonexpansive mapping; Stability; CONVERGENCE; WEAK;
D O I：
10.11568/kjm.2022.30.4.665
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence and stability results for the approximation of fixed points of the contractive-like mapping in the framework of uniformly convex Banach space. In addition, we have established some convergence results for the approximation of the fixed points of a nonexpansive mapping.
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收藏
页码：665 / 678
页数：14
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