STRONG CONVERGENCE OF SELF-ADAPTIVE TSENG'S ALGORITHMS FOR SOLVING SPLIT VARIATIONAL INEQUALITIES

In this paper, we investigate iterative methods for solving the split variational inequality problem in Hilbert spaces. Especially, we devote to con -sider the split variational inequality involved in an eta-inverse strongly phi-monotone operator and a pseudomonotone operator. We suggest an iterative algorithm by using self-adaptive technique and Tseng's method. Strong convergence analysis of the proposed algorithm is obtained under a weaker condition than sequential weak continuity imposed on pseudomonotone operators.