Journal of Nonlinear and Variational Analysis

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Volume 1, Issue 1, 1 April 2017, Pages 43-59

 

Abstract. This paper deals with an algorithm for approximating solutions of equilibrium problems in Hilbert spaces. We describe how to incorporate the diagonal subgradient and the projection methods, and then establish that the resulting algorithm is strongly convergent under mild conditions. To demonstrate the effectiveness and convergence of the algorithm, we provided numerical comparisons of the algorithm with four existing algorithms. The comparisons suggested that the algorithm is effective for solving equilibrium problems.

 

How to Cite this Article:
Dang Van Hieu, Abdellatif Moudafi, A barycentric projected-subgradient algorithm for equilibrium problems, J. Nonlinear Var. Anal. 1 (2017), 43-59.