A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is why researchers and practitioners utilize iterative procedures from which a sequence is being generated approximating the solution under some conditions on the initial data.
This type of research is considered most interesting and challenging. This is our motivation for the introduction of this special issue on Iterative Procedures.
Ioannis Argyros
Banach space weighted-Newton method local convergence Fréchet-derivative ball radius of convergence Nondifferentiable operator nonlinear equation divided difference Lipschitz condition convergence order local and semilocal convergence scalar equations computational convergence order Steffensen’s method basins of attraction