Mzimela, LusandaMebawondu, Akindele AdebayoMaharaj, AdhirIzuchukwu, ChineduNarain, Ojen Kumar2024-03-132024-03-132024-02-29Mzimela, L. et al. 2024. A new relaxed Tseng method for finding a common solution of fixed point and split monotone inclusion problems. Nonlinear Functional Analysis and Applications. 29(1): 225-258 (34). doi:10.22771/nfaa.2024.29.01.151229-1595https://hdl.handle.net/10321/5210In this paper, we study the problem of nding a common solution to a xed point problem involving a nite family of -demimetric operators and a split monotone inclusion problem with monotone and Lipschitz continuous operator in real Hilbert spaces. Motivated by the inertial technique and the Tseng method, a new and e cient iterative method for solving the aforementioned problem is introduced and studied. Also, we establish a strong convergence result of the proposed method under standard and mild conditions.34 penCommon solutionTseng methodArticle2024-03-0710.22771/nfaa.2024.29.01.15