Solving Equilibrium Problem with New Inertial Technique
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912726368911360 |
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| author | Nwakpa, Chidi Elijah Izuchukwu, Chinedu Okeke, Chibueze CHristian Ozsahin, Dilber Uzun Adamu, Abubakar |
| author_facet | Nwakpa, Chidi Elijah Izuchukwu, Chinedu Okeke, Chibueze CHristian Ozsahin, Dilber Uzun Adamu, Abubakar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18642 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Solving Equilibrium Problem with New Inertial Technique Nwakpa, Chidi Elijah Izuchukwu, Chinedu Okeke, Chibueze CHristian Ozsahin, Dilber Uzun Adamu, Abubakar Optimization and Control Numerical Analysis 47H09, 47H10, 49J53, 90C25 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. |
| title | Solving Equilibrium Problem with New Inertial Technique |
| topic | Optimization and Control Numerical Analysis 47H09, 47H10, 49J53, 90C25 |
| url | https://arxiv.org/abs/2511.18642 |