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Equilibrium for Perturbations of Multifunctions by Convex Processes

Equilibrium for Perturbations of Multifunctions by Convex Processes We present a general equilibrium theorem for the sum of an upper hemicontinuous convex valued multifunction and a closed convex process defined on a noncompact subset of a normed space. The lack of compactness is compensated by inwardness conditions related to the existence of viable solutions of some differential inclusion. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Equilibrium for Perturbations of Multifunctions by Convex Processes

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Publisher
de Gruyter
Copyright
© 1996 Plenum Publishing Corporation
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.1996.201
Publisher site
See Article on Publisher Site

Abstract

We present a general equilibrium theorem for the sum of an upper hemicontinuous convex valued multifunction and a closed convex process defined on a noncompact subset of a normed space. The lack of compactness is compensated by inwardness conditions related to the existence of viable solutions of some differential inclusion.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Jun 1, 1996

Keywords: Equilibrium; upper hemicontinuous multifunctions with convex values; closed convex processes; tangency conditions; viable solutions and stationary points of differential inclusions

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