Illumination and visibility problems in terms of closure operators.
Martini, Horst, Wenzel, Walter (2004)
Beiträge zur Algebra und Geometrie
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Martini, Horst, Wenzel, Walter (2004)
Beiträge zur Algebra und Geometrie
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Borwein, Jonathan, Lucet, Yves, Mordukhovich, Boris (2000)
Journal of Convex Analysis
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Nikodem, Kazimierz, Páles, Zsolt (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Agnieszka Drwalewska, Lesław Gajek (1999)
Applicationes Mathematicae
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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...
Nunokawa, Mamoru, Owa, Shigeyoshi, Ikeda, Akira (2001)
International Journal of Mathematics and Mathematical Sciences
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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.
Luděk Zajíček (2007)
Control and Cybernetics
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Blezu, Dorin (2001)
General Mathematics
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Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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Janusz Krzyszkowski (1995)
Annales Polonici Mathematici
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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.
Butnariu, Dan, Iusem, Alfredo N., Resmerita, Elena (2000)
Journal of Convex Analysis
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Acu, Mugur (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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