Georgian Mathematical Journal

, Volume 3, Issue 3, pp 201-215

First online:

Equilibrium for perturbations of multifunctions by convex processes

  • H. Ben-El-MechaiekhAffiliated withDepartment of Mathematics, Brock University
  • , W. KryszewskiAffiliated withInstytut Matematyki, Universytet Mikolaja Kopernika

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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.

1991 Mathematics Subject Classification

47H04 47H15 54H25

Key words and phrases

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