Iterative algorithm of solutions for generalized mixed implicit equilibrium-like problems

In this paper, we introduce a new class of generalized mixed implicit equilibrium-like equilibrium problems (GMIELP). By using auxiliary principle technique, some new predictor-corrector iterative algorithms for solving generalized mixed implicit equilibrium-like problems are suggested and analyzed. The convergence of the suggested methods only requires the continuity and the partially relaxed N-η-g-strongly monotonicity of mappings.