Projection methods of iterative solutions in Hilbert spaces

Fixexd point theory and applications

Jing Lu¹  Feng Gu¹ 

[1] Department of Mathematics, Hangzhou Normal University, Hangzhou, China

关键词: fixed point;    monotone operator;    nonexpansive mapping;    variational inequality;    zero point;   

DOI  :  10.1186/1687-1812-2012-162

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, zero points of the sum of two monotone mappings, solutions of a monotone variational inequality, and fixed points of a nonexpansive mapping are investigated based on a hybrid projection iterative algorithm. Strong convergence of the purposed iterative algorithm is obtained in the framework of real Hilbert spaces without any compact assumptions. MSC:47H05, 47H09, 47J25, 90C33.

【 授权许可】

CC BY