Iterative Algorithm for Solving Multivalued Generalized Mixed Implicit Quasi-Equilibrium Problems
Jiang Xiao-tao · Journal of Sichuan Normal University · 2011
A new class of multivalued generalized mixed implicit quasi-equilibrium problems are introduced and studied.The class includes many known generalized mixed implicit quasi-variational inequality problems and generalized equilibrium problems as many special cases.For solving these problems,a new definition of partially relaxed N-g-jointly pseudomonotonicity is introduced and a new predictor-corrector iterative algorithm is suggested and analyzed by using the auxiliary principle technique.The convergence of the suggested algorithm only requires the continuity and the partially relaxed N-g-jointly pseudomonotonicity of the mappings.