Ibrahim Karahan - Department of Mathematics, Faculty of Science, Erzurum Technical University, Erzurum, ۲۵۷۰۰, Türkiye
Godwin Ugwunnadi - Department of Mathematics, University of Eswatini, Private Bag, Kwaluseni, Eswatini

In this paper, we introduce a new iterative method for a system of split mixed equilibrium problems and an infinite family of demimetric mappings in a real Hilbert space. Then, we establish that the sequence generated by our proposed algorithm converges strongly to a common element in the solutions set of a system of split mixed equilibrium problems and the common fixed points set of an infinite family of demimetric mappings. Our results improve and generalize some well-known recent results in the literature.

Split problem, equilibrium problem, fixed points, Demimetric mapping, strong convergence