Some fixed point results for pair of relatively non-expansive mappings in W-hyperbolic spaces using Thakur iteration

被引：0
作者：
Valappil, Sreya Valiya [1 ]
Pulickakunnel, Shaini [2 ]
机构：
[1] SRM IST, Dept Math, Delhi NCR Campus, Ghaziabad 201204, Uttar Pradesh, India
[2] Cent Univ Kerala, Dept Math, Kasaragod 671316, Kerala, India
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 05期
关键词：
W-hyperbolic space; Common fixed point; Relatively nonexpansive mapping; Best proximity pair; NONEXPANSIVE-MAPPINGS; PROXIMITY POINTS; COMMON; CONVERGENCE;
D O I：
10.1007/s12215-024-01017-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove some fixed point results for a pair of relatively nonexpansive mappings using Thakur iteration in uniformly convex W-hyperbolic spaces. Our results extend some of the existing results in the literature. We illustrate the results with an example. Also, we compare the convergence of two different types of Thakur iterations for a pair of relatively nonexpansive mappings and establish that one converges faster than the other. We also establish the existence of a best proximity pair using the main theorem.
引用
收藏
页码：1843 / 1860
页数：18
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