Fixed points of non-expansive mappings associated with invariant means in a Banach space
โ Scribed by Jung Im Kang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 253 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ 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 โ E be a nonexpansive non-self map with n 1, where { n } and { n } are real sequences in [ , 1 -] for some โ (0, 1). ( 1) If the dual E \* of E has the
Some sufficient and necessary conditions for the iterative sequence converging to a common fixed points for a family of nonexpansive mappings in Banach spaces are obtained. The results presented in this paper not only give an affirmative answer to Halpern's open question and a partial answer to the
In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for quasi-nonexpansive mappings under certain conditions.
In this paper, we introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for the new two-step iterative scheme in a uniformly convex Banach space.