Contractibility of Fixed Point Sets of Mean-Type Mappings. (31st December 2017)

• Record Type: Journal Article
• Authors: Iampiboonvatana, S.; Chaoha, P.
• Other Names: Wong Ngai-Ching Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2017(2017)
• Publication Date: 2017-12-31
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2017/3689069
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We establish a convergence theorem and explore fixed point sets of certain continuous quasi-nonexpansive mean-type mappings in general normed linear spaces. We not only extend previous works by Matkowski to general normed linear spaces, but also obtain a new result on the structure of fixed point sets of quasi-nonexpansive mappings in a nonstrictly convex setting.