A Class of Novel Mann-Type Subgradient Extragradient Algorithms for Solving Quasimonotone Variational Inequalities

Symmetries play an important role in the dynamics of physical systems. As example, quantum physics and microworld are basis symmetry principles. These problems reduced to solving inequalities general. That is why this article, we study numerical approximation solutions variational inequality involving quasimonotone operators infinite-dimensional real Hilbert space. We prove that iterative sequences generated by proposed schemes for with mapping converge strongly some solution. The main advantage they use a monotone non-monotone step size rule based on operator knowledge rather than Lipschitz constant or line search method. present number experiments algorithms.