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Equilibrium for perturbations of multifunctions by convex processes. (English) Zbl 0857.47031

This paper presents 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.
Reviewer: J.F.Toland (Bath)

MSC:

47H04 Set-valued operators
54H25 Fixed-point and coincidence theorems (topological aspects)
47J05 Equations involving nonlinear operators (general)
54C60 Set-valued maps in general topology
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