A new iterative method for a common solution of fixed points for pseudo-contractive mappings and variational inequalities

Fixexd point theory and applications

Tanom Chamnarnpan¹  Poom Kumam² 

[1] Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Thrungkru, Bangkok, Thailand

关键词: monotone mapping;    nonexpansive mapping;    pseudo-contractive mappings;    variational inequality;   

DOI  :  10.1186/1687-1812-2012-67

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we introduce a new iterative scheme for finding a common element of the set of fixed points for a continuous pseudo-contractive mapping and the solution set of a variational inequality problem governed by continuous monotone mappings. Strong convergence for the proposed iterative scheme is proved. Our results improve and extend some recent results in the literature. 2000 Mathematics Subject Classification: 46C05; 47H09; 47H10.

【 授权许可】

CC BY