Jolaoso, Lateef OlakunleKarahan, Ibrahim2026-03-262026-03-2620202238-36031807-030210.1007/s40314-020-01178-82-s2.0-85085347776https://doi.org/10.1007/s40314-020-01178-8https://hdl.handle.net/20.500.14901/1729Jolaoso, Lateef/0000-0002-4838-7465In this paper, we introduce a new general alternative regularization algorithm for solving split equilibrium and fixed point problems in real Hilbert spaces. The proposed method does not require a prior estimate of the norm of the bounded linear operator nor a fixed stepsize for its convergence. Instead, we employ a line search technique and prove a strong convergence result for the sequence generated by the algorithm. A numerical experiment is given to show that the proposed method converges faster in terms of number of iteration and CPU time of computation than some existing methods in the literature.eninfo:eu-repo/semantics/closedAccessSplit Equilibrium ProblemFixed Point ProblemGeneral Alternative MethodLine Search RuleArticle