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In this paper, we design a new iterative algorithm for solving pseudomonotoneequilibrium problems in real Hilbert spaces. The advantage of our algorithm isthat it requires only one strongly convex programming problem at eachiteration. Under suitable conditions we establish the strong and weakconvergence of the proposed algorithm. The results presented in the paperextend and improve some recent results in the literature. The performances andcomparisons with some existing methods are presented through numericalexamples.

Golden ratio algorithms for solving equilibrium problems in Hilbert spaces