COMMON FIXED POINT THEOREMS OF TWO FINITE FAMILIES OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES

被引：1

作者：

Nuntadilok, B. ^{[1
]}

Kingkam, P. ^{[2
]}

Nantadilok, J. ^{[2
]}

机构：

[1] Maejo Univ, Fac Sci, Dept Math, Chiangmai, Thailand

[2] Lampang Rajabhat Univ, Fac Sci, Dept Math, Lampang, Thailand

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2023年 / 2023卷 / 01期

关键词：

asymptotically quasi-nonexpansive mapping; CAT(0) space; Implicit algorithm; Hyperbolic space; STRONG-CONVERGENCE; ITERATIONS; SCHEME; WEAK;

D O I：

10.23952/jnfa.2023.27

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish strong convergence theorems via an implicit algorithm for two finite fam-ilies of uniformly L-Lipschitzian asymptotically quasi-nonexpansive maps in hyperbolic spaces. We prove some results concerning Delta-convergence as well as strong convergence of the implicit algorithm. Our results are the generalization of some recent results in CAT(0) spaces, uniformly convex Banach spaces, and hyperbolic spaces.

引用

页数：15

共 33 条

[1] ON THE EXISTENCE OF BEST PROXIMITY POINTS OF MULTI-VALUED MAPPINGS IN CAT(0) SPACES [J].