1 research outputs found
Golden ratio algorithms for solving equilibrium problems in Hilbert spaces
In this paper, we design a new iterative algorithm for solving pseudomonotone
equilibrium problems in real Hilbert spaces. The advantage of our algorithm is
that it requires only one strongly convex programming problem at each
iteration. Under suitable conditions we establish the strong and weak
convergence of the proposed algorithm. The results presented in the paper
extend and improve some recent results in the literature. The performances and
comparisons with some existing methods are presented through numerical
examples.Comment: 25 pages, 5 figure