COMMON FIXED POINT OF GENERALIZED ASYMPTOTIC POINTWISE (QUASI-) NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES

被引：0

作者：

Saleh, Khairul ^{[1
]}

Fukhar-Ud-Din, Hafiz ^{[2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Islamia Univ Bahawalpur, Dept Math, Bahawalpur 63100, Pakistan

来源：

KOREAN JOURNAL OF MATHEMATICS | 2020年 / 28卷 / 04期

关键词：

Hyperbolic space; generalized asymptotic pointwise (quasi-) nonexpansive mapping; Delta-convergence; strong convergence; common fixed point; one-step iterative scheme; CONVERGENCE; SCHEME;

D O I：

10.11568/kjm.2020.28.4.915

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a fixed point theorem for generalized asymptotic pointwise nonexpansive mapping in the setting of a hyperbolic space. A one-step iterative scheme approximating common fixed point of two generalized asymptotic pointwise (quasi-) nonexpansive mappings in this setting is provided. We obtain Delta-convergence and strong convergence theorems of the iterative scheme for two generalized asymptotic pointwise nonexpansive mappings in the same setting. Our results generalize and extend some related results in the literature.

引用

页码：915 / 929

页数：15

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