The purpose of this paper is to introduce and study two hybrid proximal- point algorithms for finding a common element of the set of solutions of an equilib- rium problem and the set of solutions to the equation 0 ∈ T x for a maximal monotone operator T in a uniformly smooth and uniformly convex Banach space X. Strong and weak convergence results of these two hybrid proximal-point algorithms are estab- lished, respectively.
Hybrid proximal-point methods for common solutions of equilibrium problems and zeros of maximal monotone operators
MASTROENI, GIANDOMENICO;
2009-01-01
Abstract
The purpose of this paper is to introduce and study two hybrid proximal- point algorithms for finding a common element of the set of solutions of an equilib- rium problem and the set of solutions to the equation 0 ∈ T x for a maximal monotone operator T in a uniformly smooth and uniformly convex Banach space X. Strong and weak convergence results of these two hybrid proximal-point algorithms are estab- lished, respectively.File in questo prodotto:
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