Article 2022 · 7 atıf

Three novel inertial explicit Tseng's extragradient methods for solving pseudomonotone variational inequalities

Rehman, Habib Ur, Kumam, Poom, Ozdemir, Murat, Argyros, Ioannis K., Kumam, Wiyada

Özet

In this paper, we construct three new extragradient-type iterative methods for solving variational inequalities in real Hilbert spaces. The proposed iterative methods are functionally equivalent to the extragradient method, which is used to solve variational inequalities in an infinite-dimensional real Hilbert space. The main advantage of these iterative methods is that they use a simple step size rule based on operator information instead of the Lipschitz constant or any line search method. Three strong convergence theorems are well proved, corresponding to the proposed methods by allowing certain control parameter conditions. Finally, we present some numerical experiments to verify the efficacy and superiority of the proposed iterative methods.

Anahtar Kelimeler

Variational inequalities Tseng's extragradient method inertial methods pseudomonotone mapping strong convergence theorem FIXED-POINTS

WoS Kategorileri

Operations Research & Management Science Mathematics, Applied

Künye

Dergi: OPTIMIZATION
Yıl: 2022
Cilt: 71
Sayı: 16
Sayfa: 4697-4730
ISSN: 0233-1934
eISSN: 1029-4945
DOI: 10.1080/02331934.2021.1963248
WoS UID: WOS:000682448500001

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