%0 Journal Article %T Explicit Halpern-type iterative algorithm for solving equilibrium problems with applications %A Muangchoo, Kanikar %J Journal of Mathematics and Computer Science %D 2022 %V 25 %N 2 %@ ISSN 2008-949X %F Muangchoo2022 %X A number of iterative algorithms have been established to solve equilibrium problems, and one of the most effective methods is a two-step extragradient method. The main objective of this study is to introduce a modified algorithm that is constructed around two methods; Halpern-type method and extragradient method with a new size rule to solve the equilibrium problems accompanied with pseudo-monotone and Lipschitz-type continuous bi-function in a real Hilbert space. Using certain mild conditions on the bi-function, as well as certain conditions on the iterative control parameters, proves a strong convergence theorem. The proposed algorithm uses a monotonic step size rule depending on local bi-function information. The main results are also used to solve variational inequalities and fixed-point problems. The numerical behavior of the proposed algorithm on different test problems is provided compared to other existing algorithms. %9 journal article %R 10.22436/jmcs.025.02.02 %U http://dx.doi.org/10.22436/jmcs.025.02.02 %P 115--132