Fixed Point Theory and Applications
Volume 2005 (2005), Issue 3, Pages 377-388
doi:10.1155/FPTA.2005.377
An approximation of solutions of variational inequalities
Jinlu Li1
and B.E. Rhoades2
1Department of Mathematics, Shawnee State University, Portsmouth 45662, OH, USA
2Department of Mathematics, Indiana University, Bloomington 47405-7106, IN, USA
Abstract
We use a Mann-type iteration scheme and the metric projection operator (the nearest-point projection operator) to approximate the solutions of variational inequalities in uniformly convex and uniformly smooth Banach spaces.