We show some stability and convergence theorems of the modified Ishikawa iterative sequence with errors for a strongly successively pseudocontractive and strictly asymptotically pseudocontractive mapping in a real Banach space. Additionally, we prove that if T is a uniformly Lipschitzian strongly accretive mapping, the modified Ishikawa iteration sequence with errors converges strongly to the u...

In this paper, we apply the Modified Variational Iteration Method (MVIM) for solving systems of partial differential equations. The proposed modification is made by introducing He’s polynomials in the correction functional of Variational Iteration Method (VIM). Several examples are given to verify the reliability and efficiency of the method. The fact that the MVIM solves nonlinear problems wit...

In this paper we provide a convergence rates result for a modified version of Landweber iteration with a priori regularization parameter choice in a Banach space setting.