Golden ratio splitting algorithm for equilibrium problems
Kanchan Mittal, Habib ur Rehman, Elisabeth Köbis, Jen-Chih Yao, Xiaopeng Zhao · Optimization · 2026
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.