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 -