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Modified two-step extragradient method for solving the pseudomonotone equilibrium programming in a real Hilbert space.
- Source :
-
Carpathian Journal of Mathematics . 2020, Vol. 36 Issue 2, p313-330. 18p. - Publication Year :
- 2020
-
Abstract
- The purpose of this paper is to come up with an inertial extragradient method for dealing with a class of pseudomonotone equilibrium problems. This method can be a view as an extension of the paper title "A new two-step proximal algorithm of solving the problem of equilibrium programming" by Lyashko and Semenov et al. (Optimization and Its Applications in Control and Data Sciences: 315-325, 2016). The theorem of weak convergence for solutions of the pseudomonotone equilibrium problems is well-established under standard assumptions placed on cost bifunction in the structure of a real Hilbert spaces. For a numerical experiment, we take up a well-known Nash Cournot equilibrium model of electricity markets to support the well-established convergence results and be adequate to see that our proposed algorithms have a competitive superiority over the time of execution and the number of iterations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15842851
- Volume :
- 36
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Carpathian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 144293850
- Full Text :
- https://doi.org/10.37193/cjm.2020.02.15