Convergence and Data Dependency of Normal−S Iterative Method for Discontinuous Operators on Banach Space. (17th February 2018)

• Record Type: Journal Article
• Authors: Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 3(2018)
• Page Start: 322
• Page End: 345
• Publication Date: 2018-02-17
• Subjects: Collage theorem -- data dependency -- inverse problem -- iterative scheme -- strong convergence; 65J15 -- 65J22 -- 47N40 -- 47H10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1363774
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: We study convergence, rate of convergence and data dependency of normal− S iterative method for a fixed point of a discontinuous operator T on a Banach space. We also prove some Collage type theorems for T . The main aim here is to show that there is a close relationship between the concepts of data dependency of fixed points and the collage theorems and show that the latter provides better estimate. Numerical examples in support of the results obtained are also given.