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Viability and equilibrium in Banach spaces

Viability and equilibrium in Banach spaces AbstractWe establish that the local viability for a convex and compact valued upper Hausdorff continuous map on a convex and compact domain in a Banach space, implies the existence of an equilibrium. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Pure Mathematics and Applications de Gruyter

Viability and equilibrium in Banach spaces

Kánnai, Zoltán
Pure Mathematics and Applications , Volume 30 (3): 9 – Oct 1, 2022
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Publisher
de Gruyter
Copyright
© 2022 Zoltán Kánnai, published by Sciendo
eISSN
1788-800X
DOI
10.2478/puma-2022-0022
Publisher site
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Abstract

AbstractWe establish that the local viability for a convex and compact valued upper Hausdorff continuous map on a convex and compact domain in a Banach space, implies the existence of an equilibrium.

Journal

Pure Mathematics and Applications – de Gruyter

Published: Oct 1, 2022

Keywords: Viable trajectories; equilibrium point; tangential condition; 34A60; 91B50; 91-10

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