Karahan, I.2026-03-262026-03-2620161687-182010.1186/s13663-016-0592-62-s2.0-85000839208https://doi.org/10.1186/s13663-016-0592-6https://hdl.handle.net/20.500.14901/3783In this paper, we consider split equality generalized mixed equilibrium problem, which is more general than many problems such as split feasibility problem, split equality problem, split equilibrium problem, and so on. We propose a new modified algorithm to obtain strong and weak convergence theorems for split equality generalized mixed equilibrium problem for nonexpansive mappings in Hilbert spaces. Also, we give some applications to other problems. Our results extend some results in the literature. © 2016, The Author(s).eninfo:eu-repo/semantics/openAccessDemicompactnessFixed PointNonexpansive MappingsSplit Equality Generalized Mixed Equilibrium ProblemArticle