Proximal Point Methods for Solving Equilibrium Problems in Hadamard Spaces
Behzad Djafari Rouhani, Vahid Mohebbi · Axioms · 2025
We investigate the Δ-convergence and strong convergence of a sequence generated by the proximal point method for pseudo-monotone equilibrium problems in Hadamard spaces. First, we show the Δ-convergence of the generated sequence to a solution of the equilibrium problem. Next, we prove the strong convergence of the generated sequence with some additional conditions imposed on the bifunction. Finally, we prove the strong convergence of the generated sequence, by using Halpern’s regularization method, without any additional condition.