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author:

Ogwo, G.N. (Ogwo, G.N..) [1] | Oyewole, O.K. (Oyewole, O.K..) [2] | Liu, L. (Liu, L..) [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:

Bregman distance Equilibrium problems Proximal-type algorithm Pseudomonotone bifunction Weak convergence

Community:

  • [ 1 ] [Ogwo G.N.]School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, China
  • [ 2 ] [Oyewole O.K.]Department of Mathematics and Statistics, Tshwane University of Technology, Arcadia, Pretoria, 007, South Africa
  • [ 3 ] [Liu L.]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

Cited Count:

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SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

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Chinese Cited Count:

30 Days PV: 0

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