Abstract
Purchase PDF (513 K)
E-mail Article
Add to my Quick Links
Cited By in Scopus (1)
Purchase PDF (383 K)
doi:10.1016/0022-247X(88)90121-7 
Copyright © 1988 Published by Elsevier Inc.
Set-contractions and ball-contractions in some classes of spaces
References and further reading may be available for this article. To view references and further reading you must purchase this article.
Tomás Domínguez Benavides
Received 26 September 1986.
Submitted by Ky Fan
Available online 30 June 2004.
Abstract
Let X be a Banach space, D an arbitrary subset of X, and T: D → X a set-condensing (k-set-contractive) mapping. The main result of this paper is: If X = lp, 1 
p + ∞, then T is ball-condensing (k-ball-contractive). It is also shown that this result does not hold for X = Lp([0, 1]), 1 p < + ∞, p ≠ 2.
