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Equilibrium for perturbations of multifunctions by convex processes

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Georgian Mathematical Journal

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.

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Ben-El-Mechaiekh, H., Kryszewski, W. Equilibrium for perturbations of multifunctions by convex processes. Georgian Mathematical Journal 3, 201–215 (1996). https://doi.org/10.1007/BF02280004

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  • DOI: https://doi.org/10.1007/BF02280004

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