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Sbornik: Mathematics, 1997, Volume 188, Issue 12, Pages 1761–1782
DOI: https://doi.org/10.1070/sm1997v188n12ABEH000271 (Mi sm271) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Topological properties of the set of fixed points of a multivalued map

B. D. Gel'man

Voronezh State University
English version PDF (276 kB) Citations (15)
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DOI: https://doi.org/10.1070/sm1997v188n12ABEH000271
Abstract: This paper is a study of the topological properties of the set of fixed points of a multivalued map. Some theorems are proved on the topological dimension of this set, and conditions are studied under which the set is connected or acyclic. The theorems obtained are applied to the investigation of the set of solutions of differential and integral inclusions.
Received: 19.09.1995
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 12, Pages 33–56
DOI: https://doi.org/10.4213/sm271
Bibliographic databases:
UDC: 515.126.83
MSC: Primary 54C60, 54H25, 54C65; Secondary 47H09, 28B20, 55M20, 55M25, 34A60, 55M10
Language: English
Original paper language: Russian
Citation: B. D. Gel'man, “Topological properties of the set of fixed points of a multivalued map”, Mat. Sb., 188:12 (1997), 33–56; Sb. Math., 188:12 (1997), 1761–1782
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:623
    Russian version PDF:322
    English version PDF:19
    References:90
    First page:2
     
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