A modified subgradient extragradient method for equilibrium problems to predict prospective mathematics teachers’ digital proficiency level
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Keywords:
Strong convergence, Pseudomonotone equilibrium problem, Data classification problem, Digital proficiency level, Educational data classification AMS Subject Classification: 65K15, 47H05, 49M37, 97M10, 97C70, 97U70Abstract
Numerous research in the field of education analytics has attempted to discover a significant indicator and predictor of the digital proficiency level of pre-service teachers. While university course alterations in their academic performance are perceived as ordinary, significant fluctuations in their academic performance in courses related to digital technology may require further investigation and
consideration, particularly regarding their digital proficiency level. However, such a method is problematic due to the complexities of describing digital academic paths. In this paper, we modify the extragradient method with an inertial extrapolation step and viscosity-type method to solve equilibrium problems of the pseudomonotone bifunction operator. Under the assumption that the bifunction
satisfies the Lipchitz-type condition in real Hilbert spaces, we obtain strong convergence theorem. Next, we apply our algorithm to classify the digital proficiency level of pre-service teachers in order to investigate the correlation between academic achievement in digital technology-related courses and digital proficiency level. Finally, we establish several situations in which the digital proficiency level of pre-service teachers might either increase or decrease.
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