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MODIFIED SUBGRADIENT EXTRAGRADIENT METHOD FOR A FAMILY OF PSEUDOMONOTONE EQUILIBRIUM PROBLEMS IN REAL A HILBERT SPACE
- Issue Date
- Sep-2020
- Publisher
- Yokohama Publishers
- Keywords
- Equilibrium problems; subgradient extragradient method; weak convergence theorem; Lipschitz-type condition; variational inequality problems
- Citation
- Journal of Nonlinear and Convex Analysis, v.21, no.9, pp 2011 - 2025
- Pages
- 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Nonlinear and Convex Analysis
- Volume
- 21
- Number
- 9
- Start Page
- 2011
- End Page
- 2025
- ISSN
- 1345-4773
1880-5221
- Abstract
- In this paper, we proposed a modified subgradient extragradient method for dealing with pseudomonotone equilibrium problems involving Lipschitz-type condition on a cost bifunction in a real Hilbert space. The weak convergence theorem for the method is precisely provided based on the standard assumptions on the cost bifunction. For a numerical experiment, we consider the well-known Nash-Cournot oligopolistic equilibrium models and other examples to support our established convergence results.
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