Fixed points of nonexpansive mappings in Banach lattices
β Scribed by Khamsi, M. A.; Turpin, Ph.
- Book ID
- 121817253
- Publisher
- American Mathematical Society
- Year
- 1989
- Tongue
- English
- Weight
- 807 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0002-9939
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π 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 β E be a nonexpansive non-self map with n 1, where { n } and { n } are real sequences in [ , 1 -] for some β (0, 1). ( 1) If the dual E \* of E has the
We introduce the class of Ξ±-nonexpansive mappings in Banach spaces. This class contains the class of nonexpansive mappings and is related to the class of firmly nonexpansive mappings in Banach spaces. In addition, we obtain a fixed point theorem for Ξ±nonexpansive mappings in uniformly convex Banach