Two Projection Algorithms for Solving Split Mixed Variational Inequalities

Nguyen Song Ha (), Simeon Reich (), Truong Minh Tuyen () and Pham Thi Minh Hanh ()
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Nguyen Song Ha: Thai Nguyen University
Simeon Reich: The Technion – Israel Institute of Technology
Truong Minh Tuyen: Thai Nguyen University
Pham Thi Minh Hanh: Thai Nguyen University of Technology

Journal of Optimization Theory and Applications, 2025, vol. 206, issue 3, No 6, 26 pages

Abstract: Abstract We study the split mixed variational inequality problem with multiple output sets in real Hilbert spaces. In order to find a solution to this problem, we propose two new inertial multi-step projection-type algorithms by using the hybrid projection and the shrinking projection methods.

Keywords: Hilbert space; Monotone operator; Split feasibility problem; Variational inequality; 47H05; 47H09; 49J53; 90C25 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02735-z

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