In an infinite-dimensional Hilbert space, the normal Mann's iteration algorithm has only weak convergence, in general, even for nonexpansive mappings. In order to get a strong convergence result, we modify the normal Mann's iterative process for an infinite family of nonexpansive mappings in the fra
Three infinite families of tetrahedral space-fillers
โ Scribed by Michael Goldberg
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 327 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let C be a closed convex subset of a real uniformly smooth and strictly convex Banach space E. Consider the following iterative algorithm given by where f is a contraction on C and W n is a mapping generated by an infinite family of nonexpansive mappings {T i } โ i=1 . Assume that the set of common
In this work, we consider a general composite iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces. It is proved that the sequence generated by the iterative scheme converges strongly to a common point of the set of fixed points, which solves th