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 f inite difference approach, we suggest and analyzed a number of new iterative methods s for solving harmonic-like 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 role of operators. Various special cases are discussed as applications of the main results. Several open problems are suggested for future research.
Noor et al. (Sun,) studied this question.