A Modified Subgradient Extragradient Method for Solving Monotone Variational Inequalities in Banach Spaces

Abstract

The subgradient extragradient method is considered an improvement of the extragradient method for variational inequality problem for the class of monotone and Lipschitz continuous mappings in the setting of Hilbert spaces. In this Thesis, we proposed an improved sub- gradient extragradient method for variational inequality problem for the class of monotone and Lipschitz continuous mappings in the setting of real Banach spaces.