An Algorithm for Approximating Fixed Points Generalized Double Midpoint Rule

In this paper we introduce a new nonlinear algorithm for approximating xed points ofdouble midpoint rule on a nonempty, closed and convex subset of real Hilbert spaces. Undersome specic assumption imposed on the control parameters, we prove a strong convergencetheorem. In this manner, we provide some numerical examples to illustrate our main resultand to display the eciency of the proposed algorithm.

Keywords:

fixed point , generalized double midpoint rule , asymptotically nonexpansive mapping , Hilbert space