TY - JOUR ID - 253235 TI - Modified Inertial Algorithms for a Class of Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Suwannaprapa, Montira AD - Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna, Chiang Rai 57120, Thailand. Y1 - 2022 PY - 2022 VL - 19 IS - 4 SP - 1 EP - 24 KW - Split feasibility problem KW - Fixed point problem KW - Maximal monotone operator KW - Convergence theorems DO - 10.22130/scma.2021.538539.985 N2 - In 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. UR - https://scma.maragheh.ac.ir/article_253235.html L1 - https://scma.maragheh.ac.ir/article_253235_25fbab41a3e626735ea6bee484c62d89.pdf ER -