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author:

Ogwo, Grace Nnennaya (Ogwo, Grace Nnennaya.) [1] | Oyewole, Olawale Kazeem (Oyewole, Olawale Kazeem.) [2] | Liu, Liya (Liu, Liya.) [3]

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Abstract:

In this paper, using the Bregman distance technique, we introduce a proximal-type algorithm for solving equilibrium problems when the bifunction is pseudomonotone in real Hilbert spaces. The proposed algorithm involves only one strongly convex minimization subproblem, which makes our algorithm more effective than some existing algorithms in the literature. Under certain standard assumptions, we obtain a weak convergence result using the proposed algorithm. Finally, we present numerical experiments to illustrate the performance and applicability of our proposed algorithm. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.

Keyword:

Consensus algorithm Differential equations Optimization Problem solving

Community:

  • [ 1 ] [Ogwo, Grace Nnennaya]School of Mathematical Sciences, Zhejiang Normal University, Jinhua; 321004, China
  • [ 2 ] [Oyewole, Olawale Kazeem]Department of Mathematics and Statistics, Tshwane University of Technology, Arcadia, Pretoria; 007, South Africa
  • [ 3 ] [Liu, Liya]School of Mathematics and Statistics, Fuzhou University, Fuzhou; 350108, China

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Source :

Journal of Optimization Theory and Applications

ISSN: 0022-3239

Year: 2025

Issue: 1

Volume: 207

1 . 6 0 0

JCR@2023

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ESI Highly Cited Papers on the List: 0 Unfold All

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30 Days PV: 0

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