Abstract
In this paper, we introduce a new method based on the well‐known Krasnoselskii‐Mann's method for non‐expansive mappings in Hilbert spaces. We show that the proposed method has strong convergence for non‐expansive mappings. Keywords: non‐expansive mapping, fixed point, modified Krasnoselskii‐Mann's method, strong convergence, Hilbert space.
Notes
The second author was supported by the Korea Research Foundation Grant funded by the Korean Government (KRF‐2008–313‐C00050).