Abstract
This paper proposes a gradient projection method to solve the equilibrium problems where the bifunction is quasiconvex in its second argument. We use the Greenberg-Pierskalla quasi-subdifferential of quasiconvex functions. We prove the convergence of the sequence generated by the proposed algorithm under some mild assumptions. Some examples and their numerical evolutions are illustrated where previous methods are not applicable.
| Original language | English |
|---|---|
| Pages (from-to) | 1-12 |
| Number of pages | 12 |
| Journal | Carpathian Journal of Mathematics |
| Volume | 41 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2025 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2025, SINUS Association. All rights reserved.
Keywords
- Equilibrium problems
- Projection gradient method
- Pseudomonotonicity
- Quasiconvexity
ASJC Scopus subject areas
- General Mathematics