In this paper, we introduce a general iteration scheme for a finite family of asymptotically quasi-nonexpansive mappings. The new iterative scheme includes the modified Mann and Ishikawa iterations,â€¦ (More)

We introduce three-step iterative schemes with errors for two and three nonexpansive maps and establish weak and strong convergence theorems for these schemes. Mann-type and Ishikawa-type convergenceâ€¦ (More)

* Correspondence: arahim@kfupm. edu.sa Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudia Arabia Full list of author information isâ€¦ (More)

In this paper, study of necessary conditions for the existence of unique coupled common fixed point of contractive type mappings in the context of two generalized metric spaces is initiated. Theseâ€¦ (More)

We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets in aâ€¦ (More)

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.

A mapping Î± from a normed space X into itself is called a Banach operator if there is a constant k such that 0â‰¤ k < 1 and â€–Î±2(x)âˆ’Î±(x)â€– â‰¤ kâ€–Î±(x)âˆ’xâ€– for all x âˆˆX. In this note we study some propertiesâ€¦ (More)