A modified extra-gradient method for a family of strongly pseudomonotone equilibrium problems in real hilbert spaces

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Rehman H. U., Pakkaranang N., Hussain A., Wairojjana N.

Journal of Mathematics and Computer Science, cilt.22, sa.1, ss.38-48, 2020 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.22436/jmcs.022.01.04
  • Dergi Adı: Journal of Mathematics and Computer Science
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.38-48
  • Anahtar Kelimeler: Equilibrium problem, Lipschitz-type conditions, Strong convergence theorem, Strongly pseudomonotone bifunction, Variational inequality problems
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, we propose a modified extragradient method for solving a strongly pseudomonotone equilibrium problem in a real Hilbert space. A strong convergence theorem relative to our proposed method is proved and the proposed method has worked without having the information of a strongly pseudomonotone constant and the Lipschitz-type constants of a bifunction. We have carried out our numerical explanations to justify our well-established convergence results, and we can see that our proposed method has a substantial improvement over the time of execution and number iterations.