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L. Mzimela,A. A. Mebawondu,A. Maharaj,C. Izuchukwu,O.K. Narain 경남대학교 수학교육과 2024 Nonlinear Functional Analysis and Applications Vol.29 No.1
In this paper, we study the problem of finding a common solution to a fixed point problem involving a finite family of $\rho$-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 efficient 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.