Work

Viscosity implicit midpoint scheme for enriched nonexpansive mappings

Year: 2024

Type: article

Abstract: This article proposes and analyses a viscosity scheme for an enriched nonexpansive mapping. The scheme is incorporated with the implicit midpoint rule of stiff differential equations. We deduce some convergence properties of the scheme and establish that a sequence generated therefrom converges strongly to a fixed point of an enriched nonexpansive mapping provided such a point exists. Furthermore, we provide some examples of the implementation of the schemes with respect to certain enriched mappings and show the numerical pattern of the scheme.

Source: Constructive Mathematical Analysis

DOI: 10.33205/cma.1540982

Authors: Sani Salisu, Songpon Sriwongsa, Poom Kumam, Cho Yeolb Je

Institutions: Sule Lamido University Kafin Hausa, King Mongkut's University of Technology Thonburi, Gyeongsang National University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: King Mongkut's University of Technology Thonburi, Thailand Science Research and Innovation

OpenAlex ID: W4404998398

FWCI: 0.602

Cites: 21

Cited by: 3

Related to: 10