Generalized variational inequalities involving multivalued relaxed monotone operators (Q1372315)

The standard projection method has been used to construct the iterative algorithm for solving variational inequalities of the form: Find \(x\in K\) such that \[ (Sx+ Tx,y-x) \geq 0,\quad \forall y\in K, \] where \(K\subset X\) is a closed convex subset of a Hilbert space \(X\), \(S: X\to X\) is a strongly monotone operator and \(T:X\to 2^X\) is a relaxed monotone and Lipschitz multivalued mapping.