Implicit Methods for Equilibrium Problems on Hadamard Manifolds

Implicit Methods for Equilibrium Problems on Hadamard Manifolds

We use the auxiliary principle technique to suggest and analyze an implicit method for solving the equilibrium problems on Hadamard manifolds. The convergence of this new implicit method requires only the speudomonotonicity, which is a weaker condition than monotonicity. Some special cases are also...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of Applied Mathematics 2012-01, Vol.2012 (2012), p.309-317-322
Hauptverfasser: Aslam Noor, Muhammad, Yao, Yonghong, Zainab, Saira
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Convergence
Implicit methods
Inequality
Manifolds
Mathematical analysis
Methods
Studies
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We use the auxiliary principle technique to suggest and analyze an implicit method for solving the equilibrium problems on Hadamard manifolds. The convergence of this new implicit method requires only the speudomonotonicity, which is a weaker condition than monotonicity. Some special cases are also considered.
ISSN:1110-757X
1687-0042
DOI:10.1155/2012/437391