Modified iterative schemes with two inertia and linesearch rule for split variational inclusion and applications to image deblurring and diabetes prediction
CARPATHIAN JOURNAL OF MATHEMATICS(2024)
Abstract
The purpose of this paper is to introduce a new inertial iterative algorithm involving the linesearch 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 theorem. Finally, in applications, we apply our algorithm to image deblurring and data classification problem in predicting diabetes mellitus.
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Key words
variational inclusion problem,linesearch rule,inertial term,weak convergence,data classi- fication,diabetes mellitus
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