Some properties of -convexity.
Suo, Hongmin (2009)
The Journal of Nonlinear Sciences and its Applications
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Suo, Hongmin (2009)
The Journal of Nonlinear Sciences and its Applications
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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...
Karol Pąk (2014)
Formalized Mathematics
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In this article we prove the Tietze extension theorem for an arbitrary convex compact subset of εn with a non-empty interior. This theorem states that, if T is a normal topological space, X is a closed subset of T, and A is a convex compact subset of εn with a non-empty interior, then a continuous function f : X → A can be extended to a continuous function g : T → εn. Additionally we show that a subset A is replaceable by an arbitrary subset of a topological space that is homeomorphic...
Penot, Jean-Paul, Zălinescu, Constantin (2000)
Journal of Convex Analysis
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Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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Bucur, Amelia (2002)
General Mathematics
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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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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.
Stanisław Bylka (1996)
Applicationes Mathematicae
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This article considers optimization problems in a capacitated lot sizing model with limited backlogging. Nothing is assumed about the cost function in the case of finite restrictions of the size on the stock and backlogs. The holding and backlogging costs are functions assumed to be stationary or nearly stationary in time. In both cases, it is shown that there exists an optimal infinite inverse policy and a periodical turnpike policy. Some forward and backward procedures are adopted...
Alimohammady, M., Shahmari, A. (2009)
The Journal of Nonlinear Sciences and its Applications
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Marín, Josefa, Romaguera, Salvador (1991)
Commentationes Mathematicae Universitatis Carolinae
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