Sequential splitting algorithms with Bregman distance for solving equilibrium problems

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.

Publication Details

Journal
Journal of Nonlinear and Variational Analysis
Published
2025-05-14
DOI
https://doi.org/10.23952/jnva.9.2025.4.08
Primary Topic
Multi-Criteria Decision Making
Type
article
Field-Weighted Citation Impact
0.00

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article

Sequential splitting algorithms with Bregman distance for solving equilibrium problems

Journal of Nonlinear and Variational Analysis
Multi-Criteria Decision Making
article

Sequential splitting algorithms with Bregman distance for solving equilibrium problems

article en

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.

Journal of Nonlinear and Variational AnalysisVol. 9(4)
China Medical University, China Medical University, Taiwan
Openalex Percentile: Top 88%
Multi-Criteria Decision Making
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Sequential splitting algorithms with Bregman distance for solving equilibrium problems · Journal of Nonlinear and Variational Analysis (2025) | TGRS Research Map | TGRS