A modified extra-gradient method for a family of strongly pseudomonotone equilibrium problems in real hilbert spaces
Journal of Mathematics and Computer Science, cilt.22, sa.1, ss.38-48, 2020 (ESCI, Scopus)
- 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.