Golden ratio splitting algorithm for equilibrium problems

Mittal, Kanchan

doi:10.1080/02331934.2026.2649828

Golden ratio splitting algorithm for equilibrium problems

2026-03-01

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DOI：10.1080/02331934.2026.2649828

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This paper presents a barycentric projected-subgradient splitting approach integrated with the golden ratio framework for solving non-monotone equilibrium problems given by the sum of two bifunctions over the real Hilbert space. Under appropriate assumptions, we establish that the proposed method converges strongly and weakly to a solution of equilibrium problems with a pseudomonotone bifunction. The efficiency of the method is illustrated through a collection of numerical experiments, followed by a performance comparison with various established techniques reported in the literature.

Keywords:

Equilibrium problem

splitting technique

pseudomonotonicity

golden ratio

Golden ratio splitting algorithm for equilibrium problems

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