Convex and monotone operator functions

Jaspal Singh Aujla; H. L. Vasudeva

Displaying similar documents to “Convex and monotone operator functions”

On localizing global Pareto solutions in a given convex set

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...

Necessary and sufficient conditions for generalized convexity

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.

On the strongly starlikeness of multivalently convex functions of order $α$ .

Nunokawa, Mamoru, Owa, Shigeyoshi, Ikeda, Akira (2001)

International Journal of Mathematics and Mathematical Sciences

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Some properties of $B$ -convexity.

Suo, Hongmin (2009)

The Journal of Nonlinear Sciences and its Applications

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Characterizations of inner product spaces by strongly convex functions.

Nikodem, Kazimierz, Páles, Zsolt (2011)

Banach Journal of Mathematical Analysis [electronic only]

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A general subclass of close-to-convex functions

Liangpeng Xiong, Xiaoli Liu (2012)

Kragujevac Journal of Mathematics

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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 $ℂ^{N}$ 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.