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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Displaying similar documents to “On generalized monotone multifunctions with applications to optimality conditions in generalized convex programming.”
A new type of stable generalized convex functions.
On Ky Fan's minimax inequalities, mixed equilibrium problems and hemivariational inequalities.
Kalmoun, El Mostafa (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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On generalized preinvex functions and monotonicities.
Noor, Muhammad Aslam (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Minty variational inequalities and monotone trajectories of differential inclusions.
Crespi, Giovanni P., Rocca, Matteo (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Characterizations of the Solution Sets of Generalized Convex Minimization Problems
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.
Monotone trajectories of dynamical systems and Clarke's generalized Jacobian.
Crespi, Giovanni P., Rocca, Matteo (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Hadamard-type inequalities for quasiconvex functions.
Hadjisavvas, N. (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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A note on strong pseudoconvexity
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.
Some remarks about strictly pseudoconvex functions with respect to the Clarke-Rockafellar subdifferential.
Samir, Lahrech, Abdessamad, Jaddar, Abdelmalek, Ouahab, Abderrahim, Mbarki (2006)
Lobachevskii Journal of Mathematics
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First Order Characterizations of Pseudoconvex Functions
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.
On an integral inequality.
Pečarić, J., Pejković, T. (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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On strongly generalized preinvex functions.
Noor, Muhammad Aslam, Noor, Khalida Inayat (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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