✦ LIBER ✦

Selecting families and their applications

✍ Scribed by M. Balaj; Lai-Jiu Lin

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 185 KB
Volume: 55
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2007.06.011

No coin nor oath required. For personal study only.

✦ Synopsis

extend the concept of continuous selection and introduce the notion of selecting family for a family of set-valued mappings. In this paper, we first establish a new existence theorem of selecting families. The existence of the selecting families will be then used in order to obtain several fixed component theorems of Fan-Browder type, an intersection result, a maximal element theorem for a family of set-valued mappings and a minimax inequality.

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