Multi-invertible maps and their applications-Reference-Cited by-同舟云学术

Multi-invertible maps and their applications

Published:2019-12-01 Issue:1 Volume:18 Page:35-52
ISSN:2300-133X
Container-title:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
language:en
Short-container-title:

Author:

Ślosarski Mirosław¹

Affiliation:

1. Koszalin University of Technology , Śniadeckich 2 PL- 75-453 Koszalin Poland

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/aupcsm-2019-0003

Reference12 articles.

1. [1] Borsuk, Karol. Theory of retracts. Vol. 44 of Mathematical Monographs. Warsaw: PWN - Polish Scientific Publishers, 1967. Cited on 35.

2. [2] Engelking, Ryszard. General topology. Vol. 60 of Mathematical Monographs. Warsaw: PWN - Polish Scientific Publishers, 1977. Cited on 41 and 47.

3. [3] Gabor, Grzegorz, Lech Górniewicz and Mirosław Ślosarski. “Generalized topological essentiality and coincidence points of multivalued maps.” Set-Valued Var. Anal. 17, no. 1 (2009): 1-19. Cited on 35.

4. [4] Górniewicz, Lech. Topological fixed point theory of multivalued mappings. Second edition. Vol. 4 of Topological Fixed Point Theory and Its Applications. Dordrecht: Springer, 2006. Cited on 35, 36, 37, 41, 48 and 49.

5. [5] 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. Cited on 42.