An algorithm for approximating solutions of the split variational inclusion problem

• Published in: Optimization Vol. 74; no. 4; pp. 871 - 892
• Main Authors: Tuyen, Truong Minh, Ha, Nguyen Song
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 12.03.2025; Taylor & Francis LLC
• Subjects: Fixed points (mathematics); Hilbert space; Iterative algorithms; monotone operator; split variational inclusion

We introduce and study an iterative algorithm to approximate a solution to the split variational inclusion problem in real Hilbert spaces. The strong convergence of the proposed algorithm is proved via some suitable conditions. As applications, we derive consequences for several special cases such a...