Successive approximations for quasi-firmly type nonexpansive mappings
Yisheng Song, Qingchun Li · University of Zagreb University Computing Centre (SRCE) · 2011
In this paper, two examples of quasi-firmly type nonexpansive mappings are given to prove that the concept is different from nonexpansive mapping.Furthermore, it is studied to the convergence of the sequence of successive approximations for this class of mappings only when the super limit of iteration coefficients is less than 1.In particular, the Picard iteration {T n x 0 } of such a mapping converges to a fixed point of T in a compact metric space.