Title of article
Equilibrium problems in Hadamard manifolds
Author/Authors
Colao، نويسنده , , Vittorio and Lَpez، نويسنده , , Genaro and Marino، نويسنده , , Giuseppe and Martيn-Mلrquez، نويسنده , , Victoria، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
17
From page
61
To page
77
Abstract
An equilibrium theory is developed in Hadamard manifolds. The existence of equilibrium points for a bifunction is proved under suitable conditions, and applications to variational inequality, fixed point and Nash equilibrium problems are provided. The convergence of Picard iteration for firmly nonexpansive mappings along with the definition of resolvents for bifunctions in this setting is used to devise an algorithm to approximate equilibrium points.
Keywords
Hadamard manifold , Equilibrium problem , Variational inequality , Fixed point , Nash equilibrium , Firmly nonexpansive , Resolvent
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562491
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