Abstract
In this paper, we provide a further study for nonconvex pseudomonotone equilibrium problems and nonconvex mixed variational inequalities by using global directional derivatives. We provide finer necessary and sufficient optimality conditions for both problems in the pseudomonotone case and, as a consequence, a characterization for a point to be a solution for nonconvex equilibrium problems is given. Finally, we apply the golden ratio algorithm for a class of nonconvex functions in equilibrium problems and mixed variational inequalities.
| Original language | English |
|---|---|
| Pages (from-to) | 355-372 |
| Number of pages | 18 |
| Journal | Set-Valued and Variational Analysis |
| Volume | 30 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 2022 |
Keywords
- Equilibrium problems
- Golden ratio algorithms
- Nonconvex optimization
- Nonsmooth analysis
- Variational inequalities
Fingerprint
Dive into the research topics of 'On Nonconvex Pseudomonotone Equilibrium Problems with Applications'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver