TY  - JOUR
AU  - Zhou, Zheng
AU  - Tan, Bing
AU  - Li, Songxiao
PY  - 2022
TI  - Two self-adaptive inertial projection algorithms for solving split variational inclusion problems
JO  - AIMS Mathematics
SP  - 4960
EP  - 4973
VL  - 7
IS  - 4
AB  - This paper is to analyze the approximation solution of a split variational inclusion problem in the framework of Hilbert spaces. For this purpose, inertial hybrid and shrinking projection algorithms are proposed under the effect of a self-adaptive stepsize which does not require information of the norms of the given operators. The strong convergence properties of the proposed algorithms are obtained under mild constraints. Finally, a numerical experiment is given to illustrate the performance of proposed methods and to compare our algorithms with an existing algorithm.
UR  - https://doi.org/10.3934/math.2022276
DO  - 10.3934/math.2022276