Strong and Δ-Convergence Fixed-Point Theorems Using Noor Iterations

被引：4

作者：

Tassaddiq, Asifa ^{[1
]}

Kanwal, Shazia ^{[2
]}

Lakhani, Farha ^{[3
]}

Srivastava, Rekha ^{[4
]}

机构：

[1] Majmaah Univ, Coll Comp & Informat Sci, Dept Basic Sci & Humanities, Al Majmaah 11952, Saudi Arabia

[2] Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan

[3] Univ Leeds, Sch Comp, Leeds LS2 9JT, England

[4] Univ Victoria, Dept Math & Stat, Victoria, BC V8P 5C2, Canada

来源：

AXIOMS | 2023年 / 12卷 / 03期

关键词：

mappings; convergence; hyperbolic spaces; iteration process; NONEXPANSIVE ITERATIONS; MAPPINGS; APPROXIMATION;

D O I：

10.3390/axioms12030271

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A wide range of new research articles in artificial intelligence, logic programming, and other applied sciences are based on fixed-point theorems. The aim of this article is to present an approximation method for finding the fixed point of generalized Suzuki nonexpansive mappings on hyperbolic spaces. Strong and Delta-convergence theorems are proved using the Noor iterative process for generalized Suzuki nonexpansive mappings (GSNM) on uniform convex hyperbolic spaces. Due to the richness of uniform convex hyperbolic spaces, the results of this paper can be used as an extension and generalization of many famous results in Banach spaces together with CAT(0) spaces.

引用

页数：15

共 52 条

[1] Existence and approximation results for SKC mappings in CAT(0) spaces [J].