A new type of stable generalized convex functions.
An, Phan Thanh (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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An, Phan Thanh (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Kalmoun, El Mostafa (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Noor, Muhammad Aslam (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Crespi, Giovanni P., Rocca, Matteo (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Ivanov, Vsevolod (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 90C26, 90C20, 49J52, 47H05, 47J20. In this paper we obtain some simple characterizations of the solution sets of a pseudoconvex program and a variational inequality. Similar characterizations of the solution set of a quasiconvex quadratic program are derived. Applications of these characterizations are given.
Crespi, Giovanni P., Rocca, Matteo (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Hadjisavvas, N. (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Vsevolod Ivanov (2008)
Open Mathematics
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A strongly pseudoconvex function is generalized to non-smooth settings. A complete characterization of the strongly pseudoconvex radially lower semicontinuous functions is obtained.
Samir, Lahrech, Abdessamad, Jaddar, Abdelmalek, Ouahab, Abderrahim, Mbarki (2006)
Lobachevskii Journal of Mathematics
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Ivanov, Vsevolod (2001)
Serdica Mathematical Journal
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First order characterizations of pseudoconvex functions are investigated in terms of generalized directional derivatives. A connection with the invexity is analysed. Well-known first order characterizations of the solution sets of pseudolinear programs are generalized to the case of pseudoconvex programs. The concepts of pseudoconvexity and invexity do not depend on a single definition of the generalized directional derivative.
Pečarić, J., Pejković, T. (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Noor, Muhammad Aslam, Noor, Khalida Inayat (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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