310
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Jungck-Khan iterative scheme and higher convergence rate

, &
Pages 2092-2105 | Received 07 Apr 2015, Accepted 13 Aug 2015, Published online: 07 Oct 2015
 

Abstract

In this paper, we continue the theme of analytical and numerical treatment of Jungck-type iterative schemes. In particular, we focus on a special case of Jungck-Khan iterative scheme introduced by Khan et al. [Analytical and numerical treatment of Jungck-type iterative schemes, Appl. Math. Comput. 231 (2014) 521–535] to get an insight in the strong convergence and data dependence results obtained therein. Our investigations show that this special case under different control conditions on parametric sequences provides higher convergence rate and better data dependence estimates as compared to the Jungck-Khan iterative scheme itself.

2010 AMS Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The author (A.R. Khan) is grateful to King Fahd University of Petroleum and Minerals for supporting the Research Project IN121055.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.