On 1-parameter subgroups of the circle-exponent function in A-convex topological algebras.
Tsertos, Y. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Tsertos, Y. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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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.
Borwein, Jonathan, Lucet, Yves, Mordukhovich, Boris (2000)
Journal of Convex Analysis
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Liangpeng Xiong, Xiaoli Liu (2012)
Kragujevac Journal of Mathematics
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Butnariu, Dan, Iusem, Alfredo N., Resmerita, Elena (2000)
Journal of Convex Analysis
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Suo, Hongmin (2009)
The Journal of Nonlinear Sciences and its Applications
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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.
Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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Bauschke, Heinz H., Borwein, Jonathan M., Tseng, Paul (2000)
Journal of Convex Analysis
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Nunokawa, Mamoru, Owa, Shigeyoshi, Ikeda, Akira (2001)
International Journal of Mathematics and Mathematical Sciences
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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...