University of MaraghehSahand Communications in Mathematical Analysis2322-580719420221001Modified Inertial Algorithms for a Class of Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces12425323510.22130/scma.2021.538539.985ENMontiraSuwannaprapaFaculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna, Chiang Rai 57120, Thailand.0000-0002-5843-638XJournal Article20210909In this work, we introduce an iterative algorithm for solving the split feasibility problem on zeros of the sum of monotone operators and fixed point sets and also solving the fixed point problem of a nonexpansive mapping. This algorithm is a modification of the method based on the inertial and Mann viscosity-type methods. By assuming the existence of solutions, we show the strong convergence theorems of the constructed sequences. Finally, we also apply the proposed algorithm to related problems in Hilbert spaces.https://scma.maragheh.ac.ir/article_253235_25fbab41a3e626735ea6bee484c62d89.pdf