Bilevel mixed equilibrium problems in Banach spaces: existence and algorithmic aspects (Q428499)

The authors study the existence and algorithmic aspect of a class of bilevel mixed equilibrium problems (BMEP) in the setting of a Banach space. A suitable regularization of the bilevel mixed equilibrium problems is introduced via an auxiliary equilibrium problem and it is shown how, starting from the auxiliary equilibrium problems, to define a sequence strongly convergent to a solution of the bilevel mixed equilibrium problem. The obtained results improve some new results on bilevel mixed equilibrium problems and answer some open questions in the literature related to the convergence of algorithms for (BMEP).