A General Iterative Algorithm with Strongly Positive Operators for Strict Pseudo-Contractions. (27th March 2013)

• Record Type: Journal Article
• Authors: Xu, Wei; Wang, Yuanheng
• Other Names: Timofte Claudia Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-03-27
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/757986
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : This paper deals with a new iterative algorithm { x n } with a strongly positive operator A for a k -strict pseudo-contraction T and a non-self-Lipschitzian mapping S in Hilbert spaces. Under certain appropriate conditions, the sequence { x n } converges strongly to a fixed point of T, which solves some variational inequality. The results here improve and extend some recent related results.