Geodesic
Continuation theorems for weakly inward Kakutani and Strongly inward acyclic maps
O'Regan, D.1
1 School of Mathematical and Statistical Sciences, National University of Ireland, Galway, Ireland
Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 3, p. 203-208.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper we begin by presenting a general Leray-Schauder alternative and a topological transversality theorem for Kakutani (upper semicontinuous maps with nonempty convex compact values) compact weakly inward maps. Then with some observations and extra assumptions we present a Leray-Schauder alternative and a topological transversality theorem for acyclic (upper semicontinuous maps with nonempty acyclic compact values) compact strongly inward maps.
DOI : 10.22436/jnsa.015.03.03
Classification : 47H10, 54H25
Keywords: Essential maps, homotopy, inward maps, acyclic maps

O'Regan, D. 1

1 School of Mathematical and Statistical Sciences, National University of Ireland, Galway, Ireland 
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O'Regan, D. Continuation theorems for weakly inward Kakutani and Strongly inward acyclic maps. Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 3, p. 203-208. doi : 10.22436/jnsa.015.03.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.015.03.03/

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