General Iterative Metheds For Several Classes Of Nonlinear Mappings With Applicatinos To Optimization Problems

In this paper,we introduce two general iterative methods for a certain optimization problem of which the constrained set is the intersectional set of the solution set of the variational inequality problem for a continuous monotone mapping,the fixed point set of finitely many continuous pseudocontractive mappings and the solution set of finitely many generalized mixed equilibrium problems in a real Hilbert space.Under some mild control conditions,we establish the strong convergence of the proposed methods to an element ofthe intersectional set,which is the unique solution of a certain optimization problem.As a direct consequence,we obtain the unique nininum-norm element of the intersectional set.The results presented in this paper improve and extend the corresponding results in the earlier and recent literature.