A self-adaptive technique for solving variational inequalities: a new approach to the problem (Q2672526)

Summary: Variational inequalities are considered the most significant field in applied mathematics and optimization because of their massive and vast applications. The current study proposes a novel iterative scheme developed through a fixed-point scheme and formulation for solving variational inequalities. Modification is done by using the self-adaptive technique that provides the basis for predicting a new predictor-corrector self-adaptive for solving nonlinear variational inequalities. The motivation of the presented study is to provide a meaningful extension to existing knowledge through convergence at mild conditions. The numerical interpretation provides a significant boost to the results.