Convergence and Stability of the Ishikawa Iteration Procedures with Mixed Errors for Nonlinear Equations of the Accretive Type
Feng Gu · Journal of Sichuan Normal University · 2003
Let X be an arbitrary real Banach space, T:X→X be a Lipschitz accretive operator and Sx=f-Tx for all x∈X. Under the lack of the condition lim n→∞α n= lim n→∞β n=0, it is proved that certain Ishikawa iteration procedures with mixed errors are both convergent and almost S stable. Related results deal with the convergence and stability of the Ishikawa iteration procedures with mixed errors for iterative approximation of solutions of the nonlinear strongly aceretive operator equation Tx=f. Our results extend and improve some recent corresponding results.