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Russian Universities Reports. Mathematics, 2019, Volume 24, Issue 125, Pages 26–32
DOI: https://doi.org/10.20310/1810-0198-2019-24-125-26-32 (Mi vtamu94) 		 
Scientific articles

On the existence of fixed points in completely continuous operators in $F$-space

A. N. Dorokhov, M. G. Karpov

Voronezh State Pedagogical University
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DOI: https://doi.org/10.20310/1810-0198-2019-24-125-26-32
Abstract: This work is dedicated to the development of the theory of fixed points of completely continuous operators. We prove existence of new theorems of fixed points of completely continuous operators in $F$-space (Frechet space). This class of spaces except Banach includes such important space as a countably normed space and $L_p(0<p<1),$ $l_p(0<p<1).$
Keywords: banach space; $F$-space; completely continuous operator; fixed point.
Received: 16.01.2019
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: A. N. Dorokhov, M. G. Karpov, “On the existence of fixed points in completely continuous operators in $F$-space”, Russian Universities Reports. Mathematics, 24:125 (2019), 26–32
Citation in format AMSBIB
\Bibitem{DorKar19}
\by A.~N.~Dorokhov, M.~G.~Karpov
\paper On the existence of fixed points in completely continuous operators in $F$-space
\jour Russian Universities Reports. Mathematics
\yr 2019
\vol 24
\issue 125
\pages 26--32
\mathnet{http://mi.mathnet.ru/vtamu94}
\crossref{https://doi.org/10.20310/1810-0198-2019-24-125-26-32}
\elib{https://elibrary.ru/item.asp?id=37526677}
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