Several self-adaptive inertial projection algorithms for solving split variational inclusion problems

Autor: Zhou, Zheng, Tan, Bing, Li, Songxiao
Rok vydání: 2020
Předmět:
Zdroj: AIMS Mathematics. 2022, 7(4), 4960-4973
Druh dokumentu: Working Paper
DOI: 10.3934/math.2022276
Popis: This paper is to analyze the approximation solution of a split variational inclusion problem in the framework of infinite dimensional Hilbert spaces. For this purpose, several inertial hybrid and shrinking projection algorithms are proposed under the effect of self-adaptive stepsizes which does not require information of the norms of the given operators. Some strong convergence properties of the proposed algorithms are obtained under mild constraints. Finally, an experimental application is given to illustrate the performances of proposed methods by comparing existing results.
Databáze: arXiv