@article{Zhou2022, 
author = {Zheng Zhou and Bing Tan and Songxiao Li},
title = {Two self-adaptive inertial projection algorithms for solving split variational inclusion problems},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {4960-4973},
keywords = {self-adaptive stepsize, projection algorithm, inertial technique, split variational inclusion problem},
url = {https://www.sciopen.com/article/10.3934/math.2022276},
doi = {10.3934/math.2022276},
abstract = {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.}
}