Exact(60)
A complex K ≤ n ′ which can be obtained from a complex K ≤ n by a finite sequence of retractions is called a retract of the complex K ≤ n.
Suppose F is a nonexpansive retract of E by a retraction c.
The set is a retract of in if there exists a retraction from to in.
In particular, a subset is called a nonexpansive retract of if there exists a nonexpansive retraction such that for all.
Then Fix is a sunny nonexpansive retract of C, and the sunny nonexpansive retraction of C onto Fix is unique.
Moreover, if E is smooth, then F ( S ) is a sunny nonexpansive retract of C and the sunny nonexpansive retraction of C onto F ( S ) is unique.
Then is a sunny nonexpansive retract of, and moreover, define a sunny nonexpansive retraction from to.
Definition 4.6. is said t be a sunny nonexpansive retract of if there exists a sunny nonexpansive retraction of onto.
A subset of is called a sunny nonexpansive retract of if there exists a sunny nonexpansive retraction from onto.
A subset D of C is called a sunny nonexpansive retract of C if there exists a sunny nonexpansive retraction from C onto D. Lemma 2.10 [2.10
A subset C of E is said to be a sunny nonexpansive retract of E if there exists a sunny nonexpansive retraction of E onto C.
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