Nonsmooth analysis and optimization on partially ordered vector spaces.
Reiland, Thomas W. (1992)
International Journal of Mathematics and Mathematical Sciences
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Reiland, Thomas W. (1992)
International Journal of Mathematics and Mathematical Sciences
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Jakub Duda (2001)
Commentationes Mathematicae Universitatis Carolinae
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In the first part of this paper, we prove that in a sense the class of bi-Lipschitz -convex mappings, whose inverses are locally -convex, is stable under finite-dimensional -convex perturbations. In the second part, we construct two -convex mappings from onto , which are both bi-Lipschitz and their inverses are nowhere locally -convex. The second mapping, whose construction is more complicated, has an invertible strict derivative at . These mappings show that for (locally) -convex...
Libor Veselý, Luděk Zajíček (2001)
Acta Universitatis Carolinae. Mathematica et Physica
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Azzam-Laouir, D. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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P. Kenderov (1976)
Studia Mathematica
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Deville, Robert (2005)
Abstract and Applied Analysis
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Domokos, A. (1997)
Mathematica Pannonica
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