Strong and Δ-Convergence Fixed-Point Theorems Using Noor Iterations-Reference-Cited by-同舟云学术

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

Published:2023-03-06 Issue:3 Volume:12 Page:271
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Tassaddiq Asifa¹^ORCID,Kanwal Shazia²^ORCID,Lakhani Farha³,Srivastava Rekha⁴^ORCID

Affiliation:

1. Department of Basic Sciences and Humanities, College of Computer and Information Sciences, Majmaah University, Al Majmaah 11952, Saudi Arabia

2. Department of Mathematics, Government College University, Faisalabad 38000, Pakistan

3. School of Computing, University of Leeds, Leeds LS2 9JT, UK

4. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8P 5C2, Canada

Abstract

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 Δ-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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/3/271/pdf

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