The study of new fixed-point iteration schemes for solving absolute value equations

Abstract

Absolute value equations (AVEs) play a crucial role in solving various complexities across scientific computing, engineering, management science, and operations research. This article presents two fixed-point iteration schemes designed for such AVEs. Furthermore, we show some convergence conditions under specific circumstances. Lastly, the theoretical findings are validated using numerical examples, which emphasize the distinct advantages offered by the newly developed schemes. These results are highly promising and may stimulate future research in this domain.

Keywords

• Absolute value equations
• Fixed-point schemes
• Convergence theory
• Numerical results