Existence of a continuous solution of parametric nonlinear equation with constraints.
Chabi, El Hassan, Zouaki, Hamid (2000)
Journal of Convex Analysis
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Chabi, El Hassan, Zouaki, Hamid (2000)
Journal of Convex Analysis
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Penot, Jean-Paul, Zălinescu, Constantin (2000)
Journal of Convex Analysis
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Cârjă, Ovidiu, Monteiro Marques, Manuel D.P. (2000)
Journal of Convex Analysis
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Alimohammady, M., Shahmari, A. (2009)
The Journal of Nonlinear Sciences and its Applications
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Gerd Herzog (1998)
Colloquium Mathematicae
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We prove that the initial value problem x’(t) = f(t,x(t)), is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.
Khudalov, V.T. (2001)
Siberian Mathematical Journal
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Guedda, L., Hallouz, A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Wee-Kee Tang (1999)
Commentationes Mathematicae Universitatis Carolinae
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A class of convex functions where the sets of subdifferentials behave like the unit ball of the dual space of an Asplund space is found. These functions, which we called Asplund functions also possess some stability properties. We also give a sufficient condition for a function to be an Asplund function in terms of the upper-semicontinuity of the subdifferential map.
Martin N. Huxley, Werner Georg Nowak (1996)
Acta Arithmetica
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