Let E be a real q-uniformly smooth Banech space which is also uniformly convex (for example, L, or 1, spaces: 1 < p < 00) and K be a nonempty closed convex and bounded subset of E with 4 # int (K). Let T : K -+ K be a Lipschitzian pseudocontractive mapping such that for z E int(K), 1I.z -Trll < 112
Strong convergence theorems for the approximation of fixed points of demicontinuous pseudocontractive mappings
โ Scribed by Chidume, Charles E.; Shehu, Yekini
- Book ID
- 123607014
- Publisher
- Walter de Gruyter GmbH & Co. KG
- Year
- 2013
- Tongue
- English
- Weight
- 244 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1425-6908
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
E be a uniformly convex Banach space, K a nonempty closed convex subset of E and T : K -K an asymptotically nonexpansive mapping with a nonempty fixed-point set. Weak and strong convergence theorems for the iterative approximation of fixed points of T are proved. Our results show that the boundednes
Let T be a Lipschitzian pseudocontractive self-mapping of a closed convex and bounded subset K of a Banach space E which is both uniformly convex and ลฝ . q-uniformly smooth such that the set F T of fixed points of T is nonempty. Then ลฝ . F T is a sunny nonexpansive retract of K. If U is the sunny no