Back to Search
Start Over
Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem.
- Source :
-
Symmetry (20738994) . Apr2020, Vol. 12 Issue 4, p503. 1p. - Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HILBERT space
*EQUILIBRIUM
*MATHEMATICAL equivalence
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 12
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 143334672
- Full Text :
- https://doi.org/10.3390/sym12040503