Abstract
Our aim is to study weakly sharp solutions of a variational inequality in terms of its primal gap function (Formula presented.). We discuss sufficient conditions for the Lipschitz continuity and subdifferentiability of the primal gap function. Several sufficient conditions for the relevant mapping to be constant on the solutions have also been obtained. Based on these, we characterize the weak sharpness of the solutions of a variational inequality by (Formula presented.). Some finite convergence results of algorithms for solving variational inequality problems are also included.
| Original language | English |
|---|---|
| Pages (from-to) | 563-576 |
| Number of pages | 14 |
| Journal | Optimization Letters |
| Volume | 10 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Mar 2016 |
Keywords
- Convergence of algorithm
- Error bound
- Gap functions
- Variational inequality
- Weakly sharp solution