In this article, we establish a weak stability theorem for Ishikawa iterations in Hilbert spaces. Moreover, strongly demicontractive mapping is presented to illustrate that the iteration of T weakly T-stable but not T-stable. Our results are new and extend several known results.

In this paper, we establish some strong convergence results for Mann and Ishikawa iterative processes in a Banach space setting by employing some general contractive conditions as well as weakening further the conditions on the parameter sequence { n} ⊂ [0, 1]. In addition, in some of our results, we introduce some innovative ideas which make our results distinct from some previous ones. In par...

Abstract In this paper, we study the Ishikawa type iteration process with errors, which converges to a common fixed point of a pair of mappings in complete generalized convex metric spaces. Furthermore, we obtain the corresponding results in Banach spaces. Our result improve and generalize a recent result of Khan[S.H. Khan, Common fixed points of two quasi-contractive operators in normed spaces...

In this paper, strong convergence theorems of Ishikawa type implicit iteration process with errors for a finite family of asymptotically nonexpansive in the intermediate sense and asymptotically quasi-pseudocontractive type mappings in normed linear spaces are established by using a new analytical method, which essentially improve and extend some recent results obtained by Yang [Convergence the...

In this paper, we construct Ishikawa iterative scheme with errors for nonself nonexpansive maps and approximate fixed points of these maps through weak and strong convergenc of the scheme.