Geodesic
On the existence of fixed points in completely continuous operators in $F$-space
Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 125, pp. 26-32

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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 $L_p(0$ $l_p(0$
Keywords: banach space; $F$-space; completely continuous operator; fixed point. 
@article{VTAMU_2019_24_125_a1,
     author = {A. N. Dorokhov and M. G. Karpov},
     title = {On the existence of fixed points in completely continuous operators in $F$-space},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {26--32},
     publisher = {mathdoc},
     volume = {24},
     number = {125},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2019_24_125_a1/}
}
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A. N. Dorokhov; M. G. Karpov. On the existence of fixed points in completely continuous operators in $F$-space. Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 125, pp. 26-32. http://geodesic.mathdoc.fr/item/VTAMU_2019_24_125_a1/