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author:

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

Indexed by:

EI Scopus SCIE

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.

Keyword:

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

Community:

  • [ 1 ] [Ogwo, Grace Nnennaya]Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
  • [ 2 ] [Oyewole, Olawale Kazeem]Tshwane Univ Technol, Dept Math & Stat, 007 Arcadia, Pretoria, South Africa
  • [ 3 ] [Liu, Liya]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Peoples R China

Reprint 's Address:

  • [Liu, Liya]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Peoples R 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:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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