Some New Methods for General Nonlinear Equations
Abstract
Some classes of general nonlinear equations, which can be viewed as a novel, important special case of nonlinear equations, are introduced and investigated. Using various techniques and dynamical systems coupled with a finite difference approach, we suggest and analyze a number of new iterative methods s for solving absolute value nonlinear equations. Convergence analysis of these methods is investigated under suitable conditions. One can obtain a number of new classes of general nonlinear equations by interchanging the roles of operators. Various special cases are discussed as applications of the main results. Several open problems are suggested for future research.
Fields of Study & Subjects
Iterative Methods for Nonlinear Equations
Optimization and Variational Analysis
Fixed Point Theorems Analysis
Publication details
- Journal / source
- Journal of Operator Theory and Inequalities
- Volume
- 1
- Issue
- 1
- Pages
- 14–36
- Publication date
- 6 February 2026
- Language
- EN