{"ID":2838131,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.18642","arxiv_id":"2511.18642","title":"Solving Equilibrium Problem with New Inertial Technique","abstract":"We propose in this work a subgradient extragradient method with inertial and correction terms for solving equilibrium problems in a real Hilbert space. We obtain that the sequence generated by our proposed method converges weakly to a point in the solutions set of the equilibrium problem when the associated bivariate function is pseudomonotone and satisfies Lipschitz conditions. Furthermore, in a case where the bifunction is strongly pseudomonotone, we establish a linear convergence rate. Lastly, through different numerical examples, we demonstrate that the incorporation of multiple correction terms significantly improves our proposed method when compared with other methods in the literature.","short_abstract":"We propose in this work a subgradient extragradient method with inertial and correction terms for solving equilibrium problems in a real Hilbert space. We obtain that the sequence generated by our proposed method converges weakly to a point in the solutions set of the equilibrium problem when the associated bivariate f...","url_abs":"https://arxiv.org/abs/2511.18642","url_pdf":"https://arxiv.org/pdf/2511.18642v1","authors":"[\"Chidi Elijah Nwakpa\",\"Chinedu Izuchukwu\",\"Chibueze CHristian Okeke\",\"Dilber Uzun Ozsahin\",\"Abubakar Adamu\"]","published":"2025-11-23T22:53:14Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"math.NA\"]","methods":"[]","has_code":false}