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An inertial forward-backward method with self-adaptive step sizes for finding minimum-norm solutions of inclusion and split equilibrium problems

. In this paper, the problem of ﬁnding a common solution of variational inclusion and split equilibrium problems is studied. A modiﬁed inertial forward-backward splitting algorithm with self-adaptive step sizes is introduced for solving the problem, and the strong convergence of the algorithm is established in Hilbert spaces. Applications and examples are provided to support our main results.