Construction of Iterative Methods for Variational Inequality and Fixed Point Problems |
| |
| Authors: | Yonghong Yao Yeong-Cheng Liou |
| |
| Institution: | 1. Department of Mathematics , Tianjin Polytechnic University , Tianjin , P. R. China;2. Department of Information Management , Cheng Shiu University , Kaohsiung , Taiwan |
| |
| Abstract: | In this article, we first introduce two iterative methods for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. Then we show that the proposed iterative methods converge strongly to a minimum norm element of two sets. |
| |
| Keywords: | Fixed point Inverse-strongly monotone mapping Nonexpansive mapping Strong convergence Variational inequality |
|
|
