On -Stability of Picard Iteration in Cone Metric Spaces

The aim of this work is to investigate the T-stability of Picard's iteration procedures in cone metric spaces and give an application

Convergence and stability theorems for the Picard-Mann hybrid iterative scheme for a general class of contractive-like operators

In this paper we use the general class of contractive-like operators introduced by Bosede and Rhoades (J. Adv. Math. Stud. 3(2):1-3, 2010) to prove strong convergence and stability results for Picard-Mann hybrid iterative schemes considered in a real normed linear space. We establish the strong convergence and stability of the Picard iterative scheme as a corollary. Our results generalize and improve a multitude of results in the literature, including the recent results of Chidume (Fixed Point Theory Appl. 2014:233, 2014)

Comments on the Rate of Convergence between Mann and Ishikawa Iterations Applied to Zamfirescu Operators

In the work of Babu and Vara Prasad (2006), the claim is made that Mann iteration converges faster than Ishikawa iteration when applied to Zamfirescu operators. We provide an example to demonstrate that this claim is false

Property in -Metric Spaces

We prove two general fixed theorems for maps in G-metric spaces and then show that these maps satisfy property P