Modified subgradient extragradient method for system of variational inclusion problem and finite family of variational inequalities problem in real Hilbert space

Abstract For the purpose of this article, we introduce a modified form generalized system variational inclusions, called inclusion problems (GSMVIP). This problem reduces to classical and inequalities problems. Motivated by several recent results related subgradient extragradient method, propose new method for finding common element set solutions GSMVIP finite family Under suitable assumptions, strong convergence theorems have been proved in framework Hilbert space. In addition, some numerical indicate that proposed is effective.