φ-regular functions in Asplund spaces
Huynh Ngai, Michel Théra (2007)
Control and Cybernetics
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Displaying similar documents to “Sufficient Conditions of Optimality for Control Pproblem Governed by Variational Inequalities”
φ-regular functions in Asplund spaces
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Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing...
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Lazić, Mirjana (2005)
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We give some necessary and sufficient conditions for an n-1 times differentiable function to be a generalized convex function with respect to an unrestricted n-parameter family.
Plurisubharmonic saddles
Siegfried Momm (1996)
Annales Polonici Mathematici
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A certain linear growth of the pluricomplex Green function of a bounded convex domain of at a given boundary point is related to the existence of a certain plurisubharmonic function called a “plurisubharmonic saddle”. In view of classical results on the existence of angular derivatives of conformal mappings, for the case of a single complex variable, this allows us to deduce a criterion for the existence of subharmonic saddles.