Geodesic
General Implicit Function Theorem for Close Mappings
Informatics and Automation, Optimal Control and Differential Games, Tome 315 (2021), pp. 7-18

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove a sufficiently general implicit function theorem for mappings that are close to an original one in the uniform metric of the space of continuous mappings. As a corollary, we derive an important (for applications) result related to perturbations of linear mappings.
Keywords: implicit function, close mappings, metric regularity. 
@article{TRSPY_2021_315_a0,
     author = {E. R. Avakov and G. G. Magaril-Il'yaev},
     title = {General {Implicit} {Function} {Theorem} for {Close} {Mappings}},
     journal = {Informatics and Automation},
     pages = {7--18},
     publisher = {mathdoc},
     volume = {315},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_315_a0/}
}
TY  - JOUR
AU  - E. R. Avakov
AU  - G. G. Magaril-Il'yaev
TI  - General Implicit Function Theorem for Close Mappings
JO  - Informatics and Automation
PY  - 2021
SP  - 7
EP  - 18
VL  - 315
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2021_315_a0/
LA  - ru
ID  - TRSPY_2021_315_a0
ER  - 
%0 Journal Article
%A E. R. Avakov
%A G. G. Magaril-Il'yaev
%T General Implicit Function Theorem for Close Mappings
%J Informatics and Automation
%D 2021
%P 7-18
%V 315
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2021_315_a0/
%G ru
%F TRSPY_2021_315_a0
E. R. Avakov; G. G. Magaril-Il'yaev. General Implicit Function Theorem for Close Mappings. Informatics and Automation, Optimal Control and Differential Games, Tome 315 (2021), pp. 7-18. http://geodesic.mathdoc.fr/item/TRSPY_2021_315_a0/