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On generalized equilibrium points
Authors:Peter Kas  Zehra Boratas Sensoy
Affiliation:Eastern Mediterranean University, G. Magusa, TRNC, Mersin 10, Turkey
Abstract:Generalizations of the usual definition of saddle point and equilibrium point are introduced in this paper. The existence of these points is shown to be related to a class of functions that we call perturbed convex functions. First and second order conditions regarding the existence of these points are also proved.
Keywords:Approximate saddle points   Approximate equilibrium points   Perturbed convex functions   Existence of equilibrium points
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