Fibre Contraction Principle with respect to an Iterative Algorithm. (30th September 2013)

• Record Type: Journal Article
• Authors: Şerban, Marcel-Adrian
• Other Names: Kong Lingju Academic Editor.
• Is Part Of: Journal of operators. Volume 2013(2013)
• Publication Date: 2013-09-30
• Subjects: Operator theory -- Periodicals; Operator theory; Periodicals; 515.724
• DOI: 10.1155/2013/408791
• Languages: English
• ISSNs: 2314-5064

Abstract

Abstract : We apply the fibre contraction principle in the case of a general iterative algorithm to approximate the fixed point of triangular operator using the admissible perturbation. A simple example and an application to a functional equation with parameter are given in order to illustrate the abstract results and to show the role of admissible perturbations.