Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators

By G. Babu, K. Vara Prasad. 2006

55 citations recorded by the source corpus.

AbstractThe purpose of this paper is to show that the Mann iteration converges faster than the Ishikawa iteration for the class of Zamfirescu operators of an arbitrary closed convex subset of a Banach space. Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operatorshttp://dx.doi.org/10.1155/2007/97986

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ad397e7a3f764504738e02f6ee24602e61ba50a1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Iterative Approximation of Fixed Points (2007, methodology): “Indeed, the estimate (1) shows that the sequence {xn}n=0 converges to x∗ faster than any sequence {θn} to zero, where 0 < θ < a.”
Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators (2007, background): “Using Definition 3.3 Babu and Vara Prasad [1] showed that the Mann iteration converges faster than the Ishikawa iteration.”
A PICARD-S HYBRID TYPE ITERATION METHOD FOR SOLVING A DIFFERENTIAL EQUATION WITH RETARDED ARGUMENT (2014, background): “In such cases, the following problems arise naturally: Which one of these iteration methods converges faster to the fixed point in question? and How do we compare the speed of these iteration methods that converge to the same fixed point? There are only a few attempts to solve such an important nume”