Abstract | Keywords | Free access | Buy the book | Export citation |

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

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 --- nonlinear equations --- multiple-root solvers --- Traub–Steffensen method --- fast algorithms --- Multiple roots --- Optimal iterative methods --- Scalar equations --- Order of convergence --- simple roots --- Newton’s method --- computational convergence order --- nonlinear equations --- split variational inclusion problem --- generalized mixed equilibrium problem --- fixed point problem --- maximal monotone operator --- left Bregman asymptotically nonexpansive mapping --- uniformly convex and uniformly smooth Banach space --- nonlinear equations --- multiple roots --- derivative-free method --- optimal convergence --- multiple roots --- optimal iterative methods --- scalar equations --- order of convergence --- Newton–HSS method --- systems of nonlinear equations --- semi-local convergence --- local convergence --- convergence order --- Banach space --- iterative method --- nonlinear equations --- Chebyshev’s iterative method --- fractional derivative --- basin of attraction --- nonlinear equations --- iterative methods --- general means --- basin of attraction