On split common fixed point problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:415

Article

Kraikaew, Rapeepan¹  Saejung, Satit¹ 

[1] Khon Keen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

关键词: Split common fixed point problems;    Split feasibility problem;    Split variational inequality problem;    Split null point problem;   

DOI  :  10.1016/j.jmaa.2014.01.068

来源: Elsevier

【 摘 要 】

Based on the convergence theorem recently proved by the second author, we modify the iterative scheme studied by Moudafi for quasi-nonexpansive operators to obtain strong convergence to a solution of the split common fixed point problem. It is noted that Moudafi's original scheme can conclude only weak convergence. As a consequence, we obtain strong convergence theorems for split variational inequality problems for Lipschitz continuous and monotone operators, split common null point problems for maximal monotone operators, and Moudafi's split feasibility problem. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free