Predictor-corrector methods for general mixed quasi variational inequalities
The authors study a hybrid variational-like inequality which involves nonlinear mappings and a bi-function in Hilbert spaces. They suggest a family of fixed point type iterative algorithms based on an auxiliary problem technique for finding its solution. Instead of strong monotonicity or co-coercivity assumptions on the cost mapping, an intermediate concept of a partially relaxed strongly monotone mapping is utilized; see \textit{R. U.~Verma} [Adv. Nonlinear Var. Inequal. 2, No. 2, 137--148 (1999; Zbl 1007.49518)]. A weak convergence result is also given.
scientific article; zbMATH DE number 2117752