On Stability of Iterative Sequences with Error

Salwa Salman Abed and Noor Saddam Taresh
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Salwa Salman Abed: Department of Mathematics, College of Education, Ibn Al-Haitham, University of Baghdad, Baghdad 10001, Iraq
Noor Saddam Taresh: Ministry of Higher Education and Scientific Research, Baghdad 10001, Iraq

Mathematics, 2019, vol. 7, issue 8, 1-12

Abstract: Iterative methods were employed to obtain solutions of linear and non-linear systems of equations, solutions of differential equations, and roots of equations. In this paper, it was proved that s-iteration with error and Picard–Mann iteration with error converge strongly to the unique fixed point of Lipschitzian strongly pseudo-contractive mapping. This convergence was almost F -stable and F -stable. Applications of these results have been given to the operator equations F x = f and x + F x = f , where F is a strongly accretive and accretive mappings of X into itself.

Keywords: Banach space; iterative sequences; stability; fixed points (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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