Work

On Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators

Year: 2025

Type: article

Abstract: This paper observes that a definition adopted by some authors for comparing the rates of convergence of two iteration schemes is not correct. The paper further proves that the Picard iteration scheme converges faster than the Mann iteration scheme for contraction mappings and quasi-contraction mappings satisfying Zamfirescu conditions, in an arbitrary Banach space.

Source: Annals of Mathematics and Computer Science

DOI: 10.56947/amcs.v27.454

Author: Aniefiok Udomene

Institution: Michael Okpara University of Agriculture

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408749114

FWCI: 1.865

Cites:

Cited by: 1

Related to: 10