Convergence of an extragradient-like iterative algorithm for monotone mappings and nonexpansive mappings

Fixexd point theory and applications

Yuan Qing¹  Meijuan Shang² 

[1] Department of Mathematics, Hangzhou Normal University, Hangzhou, China;Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing, China

关键词: inverse-strongly monotone mapping;    fixed point;    nonexpansive mapping;    projection;    strong convergence;   

DOI  :  10.1186/1687-1812-2013-67

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the problem of finding some common element in the set of common fixed points of an infinite family of nonexpansive mappings and in the set of solutions of variational inequalities based on an extragradient-like iterative algorithm. Strong convergence of the purposed iterative algorithm is obtained. MSC:47H05, 47H09, 47J25, 90C33.

【 授权许可】

CC BY