Olana, Musa AdewaleMaharaj, AdhirNarain, Ojen Kumar2024-07-282024-07-282024-06-28Olana, M.A. Maharaj, A., Narain, O.K. 2024. A new iterative approximation of a split fixed point constraint equilibrium problem. Australian Journal of Mathematical Analysis and Applications. 21(1): 1-16.1449-5910 (Online)https://hdl.handle.net/10321/5366The purpose of this paper is to introduce an iterative algorithm for approximat ing an element in the solution set of the common split feasibility problem for fixed points of demimetric mappings and equilibrium problem for monotone mapping in real Hilbert spaces. Motivated by self-adaptive step size method, we incorporate the inertial technique to acceler ate the convergence of the proposed method and establish a strong convergence of the sequence generated by the proposed algorithm. Finally, we present a numerical example to illustrate the significant performance of our method. Our results extend and improve some existing results in the literature.17 pen0101 Pure Mathematics0102 Applied Mathematics4901 Applied mathematics4904 Pure mathematicsEquilibrium problemDemimetric mappingsFixed point problemsIterative methodArticle2024-07-26