On fixed-point sets of nonexpansive mappings in nonstandard hulls and Banach space ultrapowers
✍ Scribed by Andrzej Wiśnicki
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 193 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let T : K → E be a nonexpansive non-self map with n 1, where { n } and { n } are real sequences in [ , 1 -] for some ∈ (0, 1). ( 1) If the dual E \* of E has the
In this paper, a strong convergence theorem for asymptotically nonexpansive mappings in a uniformly convex and smooth Banach space is proved by using metric projections. This theorem extends and improves the recent strong convergence theorem due to Matsushita and Takahashi [S. Matsushita, W. Takahas