The problem ofgeneralized equilibrium problem is very general in the different subjects .Optimization problems, variational inequalities, Nash equilibrium problem and minimax problems are as special cases of generalized equilibrium problem. The purpose of this paper is to investigate the problem of approximating a common element of the set of generalized equilibrium problem, variational inequal...

The generalized weak Galerkin (gWG) finite element method is proposed and analyzed for the biharmonic equation. A new discrete second order partial derivative introduced in gWG scheme to allow arbitrary combinations of piecewise polynomial functions defined interior on boundary general polygonal or polyhedral elements. error estimates are established numerical approximation a H2 norm L2 norm. r...