Abstract
We introduce an iterative process which converges strongly to a common point of the solution set of a variational inequality problem for a Lipschitzian monotone mapping and the fixed point set of a continuous pseudocontractive mapping in Hilbert spaces. In addition, a numerical example which supports our main result is presented. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
| Original language | English |
|---|---|
| Article number | 292 |
| Journal | Journal of Inequalities and Applications |
| Volume | 2015 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Dec 26 2015 |
All Science Journal Classification (ASJC) codes
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
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Alghamdi, M. A., Shahzad, N., & Zegeye, H. (2015). A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping. Journal of Inequalities and Applications, 2015(1), [292]. https://doi.org/10.1186/s13660-015-0804-3