Modified iterative schemes with two inertia and linesearch rule for split variational inclusion and applications to image deblurring and diabetes prediction
Suthep Suantai, Prasit Cholamjiak, Papatsara Inkrong, Suparat Kesornprom · Carpathian Journal of Mathematics · 2024
The purpose of this paper is to introduce a new inertial iterative algorithm involving the line- search rule for the split variational inclusion in real Hilbert spaces. We use two inertial terms to accelerate the convergence speed of the proposed algorithm. Under suitable conditions, we prove its weak convergence the- orem. Finally, in applications, we apply our algorithm to image deblurring and data classification problem in predicting diabetes mellitus.