Continuation theorems for weakly inward Kakutani and Strongly inward acyclic maps

Volume 15, Issue 3, pp 203--208 http://dx.doi.org/10.22436/jnsa.015.03.03
Publication Date: March 09, 2022 Submission Date: December 12, 2021 Revision Date: January 24, 2022 Accteptance Date: January 26, 2022

Authors

D. O'Regan - School of Mathematical and Statistical Sciences, National University of Ireland, Galway, Ireland.


Abstract

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.


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ISRP Style

D. O'Regan, Continuation theorems for weakly inward Kakutani and Strongly inward acyclic maps, Journal of Nonlinear Sciences and Applications, 15 (2022), no. 3, 203--208

AMA Style

O'Regan D., Continuation theorems for weakly inward Kakutani and Strongly inward acyclic maps. J. Nonlinear Sci. Appl. (2022); 15(3):203--208

Chicago/Turabian Style

O'Regan, D.. "Continuation theorems for weakly inward Kakutani and Strongly inward acyclic maps." Journal of Nonlinear Sciences and Applications, 15, no. 3 (2022): 203--208


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