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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 2, Pages 89–92
DOI: https://doi.org/10.4213/faa197 (Mi faa197) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Brief communications

Fixed Points of Multivalued Contractions

P. V. Semenov

Moscow City Pedagogical University, Mathematical Department
Full-text PDF (134 kB) Citations (34)
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DOI: https://doi.org/10.4213/faa197
Abstract: A fixed-point theorem is proved for a broad class of closed-valued $k(\;\cdot\;)$-contractions with $\limsup_{s\to t+0}k(s)<1$ for any positive $t$ and with $\limsup_{s\to0+0}k(s)=1$.
Keywords: multivalued contraction, fixed point, Reich's problem, $G$-summable function.
Received: 30.11.2000
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 2, Pages 159–161
DOI: https://doi.org/10.1023/A:1015682926496
Bibliographic databases:
Document Type: Article
UDC: 517.988.52
Language: Russian
Citation: P. V. Semenov, “Fixed Points of Multivalued Contractions”, Funktsional. Anal. i Prilozhen., 36:2 (2002), 89–92; Funct. Anal. Appl., 36:2 (2002), 159–161
Citation in format AMSBIB
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    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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