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Qamrul Hasan Ansari, Muzaffar Sarkar Raju, Feeroz Babu, Sequential splitting algorithms with Bregman distance for solving equilibrium problems

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DOI: 10.23952/jnva.9.2025.4.08

Volume 9, Issue 4, 1 August 2025, Pages 599-616

 

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.

 

How to Cite this Article:
Q.H. Ansari, M.S. Raju, F. Babu, Sequential splitting algorithms with Bregman distance for solving equilibrium problems, J. Nonlinear Var. Anal. 9 (2025), 599-616.