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- Title
Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem.
- Authors
Rehman, Habib ur; Kumam, Poom; Argyros, Ioannis K.; Deebani, Wejdan; Kumam, Wiyada
- Abstract
In this paper, we propose a new method, which is set up by incorporating an inertial step with the extragradient method for solving a strongly pseudomonotone equilibrium problems. This method had to comply with a strongly pseudomonotone property and a certain Lipschitz-type condition of a bifunction. A strong convergence result is provided under some mild conditions, and an iterative sequence is accomplished without previous knowledge of the Lipschitz-type constants of a cost bifunction. A sufficient explanation is that the method operates with a slow-moving stepsize sequence that converges to zero and non-summable. For numerical explanations, we analyze a well-known equilibrium model to support our well-established convergence result, and we can see that the proposed method seems to have a significant consistent improvement over the performance of the existing methods.
- Subjects
HILBERT space; EQUILIBRIUM; MATHEMATICAL equivalence
- Publication
Symmetry (20738994), 2020, Vol 12, Issue 4, p503
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym12040503