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The Fixed Point Iterations Method for the Contraction Mapping

Year: 2024

Type: article

Abstract: This paper studies the fixed point iterations method that considers the contraction mapping and one of its applications for the parameter re-estimation of the normal (Gaussian) distribution, where the presence of outliers is considered. In order to study the observed method Banach’s fixed point theorem is presented, where it is shown that the contraction property is directly related to the Jacobian of the observed mapping. Furthermore, convergence analysis is conducted in order to estimate the convergence order of the observed model.

Source: MM Science Journal

DOI: 10.17973/mmsj.2024_11_2024086

Authors: V. Novoselac, A. Katic, Z. Matijasevic, M. Culetic Condric

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404075033

FWCI:

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