The construction of fixed-point iterative methods for approximating the zeros of nonlinear functions, in particular the solutions of nonlinear equations or systems, is an interesting task in numerical analysis and applied scientific branches. Over the last years, iterative techniques have been applied in many diverse fields like economics, engineering, physics, dynamical models, and so on. The existence of extensive literature on these iterative schemes reveals that this topic is a dynamic branch of the applied mathematics with interesting and promising applications.

The aim of this special issue is to present the new trends in the field of fixed-point iterative methods for nonlinear problems and extend their applications in mathematics and applied sciences. We invite investigators to contribute original research articles as well as review articles that will stimulate the continuing efforts to design, develop, and apply high-order iterative schemes for solving nonlinear problems. Potential topics include, but are not limited to:

• New developments in fixed-point iterative methods for solving nonlinear equations or systems
• Optimal iterative schemes in the sense of Kung-Traub conjecture
• Steffensen type methods for solving nonlinear problems
• Fixed-point iterative methods for singular problems
• Dynamical studies of fixed-point functions and their relationship with the convergence of the method
• Fixed-point iterative methods for Banach spaces
• Iterative methods applied to nonlinear engineering problems
• Application in solving matrix equations arising in control theory
• Application in finding the matrix functions, such as matrix sign function
• Optimization problems
• Nonlinear wave problems
• Digital image processing
• Electromagnetic problems
• Interval methods for the solution of nonlinear equations
• Application in matrix inversion, such as in Moore-Penrose inverse and Drazin inverse

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