Screening osteoporosis in elderly using a new two inertial projective forward-backward splitting algorithm

‎In this work‎, ‎we propose a new two inertial projective forward-backward splitting algorithm for approximating the solution of the variational inclusion problem in real Hilbert spaces‎. ‎We prove weak convergence of the sequence generated by our proposed iterative algorithm‎. ‎Moreover‎, ‎we also provide an application to predict osteoporosis in the elderly using a dataset from the Harvard Dataverse‎. ‎The comparison of algorithm performance is calculated using accuracy‎, ‎precision‎, ‎recall‎, ‎and F1-score‎. ‎Our algorithm's performance is higher than other comparable algorithms‎. ‎As a result‎, ‎our algorithm is an effective classification technique for identifying osteoporosis‎.