Banach space Chebyshev’s iterative method Fréchet-derivative Lipschitz condition Multiple roots Newton–HSS method Newton’s method Nondifferentiable operator Optimal iterative methods Order of convergence Scalar equations Steffensen’s method Traub–Steffensen method ball radius of convergence basin of attraction basins of attraction computational convergence order convergence order derivative-free method divided difference fast algorithms fixed point problem fractional derivative general means generalized mixed equilibrium problem iterative method iterative methods left Bregman asymptotically nonexpansive mapping local and semilocal convergence local convergence