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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 10, Pages 40–47 (Mi ivm8100)  
This article is cited in 1 scientific paper (total in 1 paper)

The existence of fixed points of left-continuous monotone operators in spaces with a regular cone

E. Yu. Elenskaya

Chair of Mathematical Analysis, Perm State University, Perm, Russia
Full-text PDF (169 kB) Citations (1)
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Abstract: In theorems on the existence of a fixed point of an operator the latter is usually assumed to be continuous. In this paper we prove a theorem with sufficient conditions for the existence of a fixed point of an operator which is not necessarily continuous (possibly it is left-continuous). The obtained theorem with the use of regular cones is applied for proving the existence of a fixed point of a nonliner integral operator. We give an example illustrating the theorem.
Keywords: left-continuous operator, cone in a Banach space, fixed point of an operator.
Received: 14.07.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 10, Pages 34–40
DOI: https://doi.org/10.3103/S1066369X11100057
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: E. Yu. Elenskaya, “The existence of fixed points of left-continuous monotone operators in spaces with a regular cone”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 10, 40–47; Russian Math. (Iz. VUZ), 55:10 (2011), 34–40
Citation in format AMSBIB
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\paper The existence of fixed points of left-continuous monotone operators in spaces with a~regular cone
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 10
\pages 40--47
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 10
\pages 34--40
\crossref{https://doi.org/10.3103/S1066369X11100057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856299815}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:42
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