Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces
β Scribed by Anthony To-Ming Lau; Hiromichi Miyake; Wataru Takahashi
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 287 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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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
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 } β i=1 . Assume that the set of common
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