Multi-invertible maps and their applications
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2019)
- Volume: 18, page 35-52
- ISSN: 2300-133X
Access Full Article
top
Abstract
topHow to cite
topMirosław Ślosarski. "Multi-invertible maps and their applications." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 18 (2019): 35-52. <http://eudml.org/doc/296802>.
@article{MirosławŚlosarski2019,
abstract = {In this article, we define multi-invertible, multivalued maps. These mappings are a natural generalization of r-maps (in particular, the singlevalued invertible maps). They have many interesting properties and applications. In this article, the multi-invertible maps are applied to the construction of morphisms and to the theory of coincidence.},
author = {Mirosław Ślosarski},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {multi-invertible map; locally admissible map; admissible morphism; strongly acyclic space; admissible map},
language = {eng},
pages = {35-52},
title = {Multi-invertible maps and their applications},
url = {http://eudml.org/doc/296802},
volume = {18},
year = {2019},
}
TY - JOUR
AU - Mirosław Ślosarski
TI - Multi-invertible maps and their applications
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2019
VL - 18
SP - 35
EP - 52
AB - In this article, we define multi-invertible, multivalued maps. These mappings are a natural generalization of r-maps (in particular, the singlevalued invertible maps). They have many interesting properties and applications. In this article, the multi-invertible maps are applied to the construction of morphisms and to the theory of coincidence.
LA - eng
KW - multi-invertible map; locally admissible map; admissible morphism; strongly acyclic space; admissible map
UR - http://eudml.org/doc/296802
ER -
References
top- Borsuk, Karol. Theory of retracts. Vol. 44 of Mathematical Monographs. Warsaw: PWN - Polish Scientific Publishers, 1967.
- Engelking, Ryszard. General topology. Vol. 60 of Mathematical Monographs. Warsaw: PWN - Polish Scientific Publishers, 1977.
- Gabor, Grzegorz, Lech Górniewicz and Mirosław Slosarski. "Generalized topological essentiality and coincidence points of multivalued maps." Set-Valued Var. Anal. 17, no. 1 (2009): 1-19.
- Górniewicz, Lech. Topological fixed point theory of multivalued mappings. Second edition. Vol. 4 of Topological Fixed Point Theory and Its Applications. Dordrecht: Springer, 2006.
- Górniewicz, Lech. "Topological degree and its applications to differential inclusions." Raccolta di Seminari del Dipartimento di Matematica dell’Universita degli Studi della Calabria, March-April, 1983.
- Górniewicz, Lech and Danuta Rozpłoch-Nowakowska. "The Lefschetz fixed point theory for morphisms in topological vector spaces." Topol. Methods Nonlinear Anal. 20, no. 2 (2002): 315-333.
- Kryszewski, Wojciech. Topological and approximation methods of degree theory of set-valued maps. Vol. 336 of Dissertationes Mathematicae. Warsaw: Instytut Matematyczny Polskiej Akademii Nauk, 1994.
- Slosarski, Mirosław. "Locally admissible multi-valued maps." Discuss. Math. Differ. Incl. Control Optim. 31, no. 1 (2011): 115-132.
- Slosarski, Mirosław. "A generalized Vietoris mapping." British Journal of Mathematics and Computer Science 8, no. 2 (2015): 89-100.
- Slosarski, Mirosław. "Multidomination of metric spaces in the context of multimorphisms." J. Fixed Point Theory Appl. 17, no. 4 (2015): 641-657.
- Slosarski, Mirosław. "The multi-morphisms and their properties and applications." Ann. Univ. Paedagog. Crac. Stud. Math. 14 (2015), 5–25.
- Slosarski, Mirosław. "The fixed points of abstract morphisms." British Journal of Mathematics and Computer Science 24, no. 22 (2014): 3077-3089.
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.