Abstract
In this paper, we propose a splitting algorithm involving the Bregman distance for solving pseudomonotone equilibrium problems where the equilibrium bifunction is the sum of two bifunctions. The convergence of the sequence generated by the proposed algorithm is established under some suitable assumptions on the Bregman function and the equilibrium function. We also give some numerical examples to support our algorithm and convergence results.
| Original language | English |
|---|---|
| Pages (from-to) | 599-616 |
| Number of pages | 18 |
| Journal | Journal of Nonlinear and Variational Analysis |
| Volume | 9 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Aug 2025 |
Bibliographical note
Publisher Copyright:©2025 Journal of Nonlinear and Variational Analysis.
Keywords
- Bregman distance
- Hölder continuity
- Pseudomonotone equilibrium problems
- Splitting algorithm
- Weak convergence
ASJC Scopus subject areas
- Analysis
- Applied Mathematics