φ-regular functions in Asplund spaces
Huynh Ngai, Michel Théra (2007)
Control and Cybernetics
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Huynh Ngai, Michel Théra (2007)
Control and Cybernetics
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Afrouzi, G.A., Heidarkhani, S., Hossienzadeh, H., Yazdani, A. (2010)
The Journal of Nonlinear Sciences and its Applications
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Alziary, Benedicte, Fleckinger, Jacqueline, Takáč, Peter (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Dimitrije Hajduković (2002)
Kragujevac Journal of Mathematics
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Li, Yanming, Xuan, Benjin (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Borwein, Jonathan, Lucet, Yves, Mordukhovich, Boris (2000)
Journal of Convex Analysis
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Janusz Matkowski, Marek Pycia (1995)
Annales Polonici Mathematici
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Let a and b be fixed real numbers such that 0 < mina,b < 1 < a + b. We prove that every function f:(0,∞) → ℝ satisfying f(as + bt) ≤ af(s) + bf(t), s,t > 0, and such that must be of the form f(t) = f(1)t, t > 0. This improves an earlier result in [5] where, in particular, f is assumed to be nonnegative. Some generalizations for functions defined on cones in linear spaces are given. We apply these results to give a new characterization of the -norm.
Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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Dinu, Teodora-Liliana (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Matkowski, Janusz (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Takáč, Peter (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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