✦ LIBER ✦

On some semigroups of mappings

✍ Scribed by Kiang Mo Tak

Book ID: 108046830
Publisher: Elsevier Science
Year: 1973
Weight: 287 KB
Volume: 76
Category: Article
ISSN: 1385-7258
DOI: 10.1016/1385-7258(73)90016-4

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## Abstract Let __X__ be a Banach space, let K be a non–empty closed subset of __X__ and let __T__ : __K__ → __X__ be a non–self mapping. The main result of this paper is that if __T__ satisfies the contractive–type condition (1.1) below and maps ∂__K__ (∂__K__ the boundary of __K__) into __K__ the