A Strong Convergence Theorem for a Family of Quasi-ϕ-Nonexpansive Mappings in a Banach Space. (29th September 2009)

• Record Type: Journal Article
• Authors: Zhou, Haiyun; Gao, Xinghui
• Other Names: Huang Nan-jing Academic Editor.
• Is Part Of: Fixed point theory and applications. Volume 2009(2009)
• Publication Date: 2009-09-29
• Subjects: Fixed point theory -- Periodicals; Mappings (Mathematics) -- Periodicals; 515.7248
• DOI: 10.1155/2009/351265
• Languages: English
• ISSNs: 1687-1812

Abstract

Abstract : The purpose of this paper is to propose a modified hybrid projection algorithm and prove a strong convergence theorem for a family of quasi-ϕ -nonexpansive mappings. The strong convergence theorem is proven in the more general reflexive, strictly convex, and smooth Banach spaces with the property (K). The results of this paper improve and extend the results of S. Matsushita and W. Takahashi (2005), X. L. Qin and Y. F. Su (2007), and others.