zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Convergence of sequences of sets. (English) Zbl 0606.54006
Methods of functional analysis in approximation theory, Proc. Int. Conf., Bombay 1985, ISNM 76, 135-155 (1986).

[For the entire collection see Zbl 0592.00021.]

Convergences of sequences of subsets of a metric space X has been variously defined by Hausdorff, Kuratowski, Wijsman, and Mosco. More recently, Brian Fisher [Rostocker Math. Kolloq. 18, 69-78 (1981; Zbl 0479.54025)] has introduced yet another type of sequential convergence of sets (in the context of fixed point theory). According to the authors, ”The aim of this paper is twofold: firstly, we want to put the last kind of convergence in the right place among the other notions indicated above. Secondly, we want to study (F) convergence in some detail.” Actually, most of the article does not pertain to convergence in the sense of Fisher but to the older concepts in the case when X is a normed linear space.

Reviewer: M.Michael
MSC:
54B20Hyperspaces (general topology)
54A20Convergence in general topology