A new iterative method for a common solution of fixed points for pseudo-contractive mappings and variational inequalities
Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Thrungkru, Bangkok 10140, Thailand
Fixed Point Theory and Applications 2012, 2012:67 doi:10.1186/1687-1812-2012-67Published: 24 April 2012
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.