219 research outputs found
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
Convergence and stability theorems for the Picard-Mann hybrid iterative scheme for a general class of contractive-like operators
Rate of convergence of Mann, Ishikawa and Noor iterations for continuous functions on an arbitrary interval
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
Strong convergence and stability of Kirk-multistep-type iterative schemes for contractive-type operators
The convergence theorems of Ishikawa iterative process with errors for Ī¦-hemi-contractive mappings in uniformly smooth Banach spaces
Stability of k-step fixed point iterative methods for some PreÅ”iÄ type contractive mappings
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