Equivalence and stability of random fixed point iterative procedures

Ismat Beg and Mujahid Abbas

International Journal of Stochastic Analysis, 2006, vol. 2006, 1-19

Abstract:

We generate a sequence of measurable mappings iteratively andstudy necessary conditions for its strong convergence to a randomfixed point of strongly pseudocontractive random operator. Weestablish the weak convergence of an implicit random iterativeprocedure to common random fixed point of a finite family ofnonexpansive random operators in Hilbert spaces. We prove theequivalence between the convergence of random Ishikawa and randomMann iterative schemes for contraction random operator andstrongly pseudocontractive random operator. We also examine thestability of random fixed point iterative procedures for therandom operators satisfying certain contractiveconditions in the context of metric spaces.

Date: 2006
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJSA/2006/023297.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJSA/2006/023297.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:023297

DOI: 10.1155/JAMSA/2006/23297

Access Statistics for this article

More articles in International Journal of Stochastic Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().