Predictor–corrector iterative algorithms for solving generalized mixed variational-like inequalities

摘要

The concept of partially relaxed η-strong monotonicity of set-valued mappings is introduced. By applying the auxiliary variational inequality technique, some new predictor–corrector iterative algorithms for solving generalized mixed variational-like inequalities are suggested and analyzed. The convergence of the algorithms only need the continuity and the partially relaxed η-strongly monotonicity of set-valued mappings. The algorithm and convergence result are new, and generalize some known results in literatures.