Descent methods for monotone equilibrium problems in Banach spaces

Descent methods for monotone equilibrium problems in Banach spaces

In this paper, we consider equilibrium problems with nonstrictly monotone and differentiable bifunction. We propose a combined regularization and descent method for this problem and establish strong convergence of its iteration sequence.

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Veröffentlicht in:Journal of computational and applied mathematics 2006-04, Vol.188 (2), p.165-179
Hauptverfasser: Konnov, I.V., Ali, M.S.S.
Format: Artikel
Sprache:eng
Schlagworte:
Equilibrium problem
Monotone bifunction
Regularization method
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Beschreibung
Zusammenfassung:In this paper, we consider equilibrium problems with nonstrictly monotone and differentiable bifunction. We propose a combined regularization and descent method for this problem and establish strong convergence of its iteration sequence.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2005.04.004