Approximating Iterations for Nonexpansive and Maximal Monotone Operators. (27th August 2015)

• Record Type: Journal Article
• Authors: Yao, Zhangsong; Cho, Sun Young; Kang, Shin Min; Zhu, Li-Jun
• Other Names: Kumam Poom Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2015(2015)
• Publication Date: 2015-08-27
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2015/451320
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We present two algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive operator in Hilbert spaces. We show that these two algorithms converge strongly to the minimum norm common element of the zero of the sum of two monotone operators and the fixed point of a nonexpansive operator.