Let be a nonempty closed convex subset of a real Hilbert space . Let be a sequence of nearly nonexpansive mappings such that . Let be a -Lipschitzian mapping and be a -Lipschitzian and -strongly monotone operator. This paper deals with a modified iterative projection method for approximating a solution of the hierarchical fixed point problem. It is shown that under certain approximate assumptions on the operators and parameters, the modified iterative sequence converges strongly to which is also the unique solution of the following variational inequality: As a special case, this projection method can be used to find the minimum norm solution of above variational inequality; namely, the unique solution to the quadratic minimization problem: . The results here improve and extend some recent corresponding results of other authors.
Dergi Türü : Uluslararası
Benzer Makaleler | Yazar | # |
---|
Makale | Yazar | # |
---|