An Algorithm for Approximating Fixed Points Generalized Double Midpoint Rule
الموضوعات :
1 - Department of Mathematics,
Ashtian Branch, Islamic Azad University, Ashtian, Iran
الکلمات المفتاحية: Hilbert space, generalized double midpoint rule, asymptotically nonexpansive mapping, fixed point,
ملخص المقالة :
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.
