Weak sharp minima in multiobjective optimization
Marcin Studniarski (2007)
Control and Cybernetics
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Marcin Studniarski (2007)
Control and Cybernetics
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Xu, S., Li, S.J. (2010)
Fixed Point Theory and Applications [electronic only]
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H. Attouch, R. J.-B. Wets (1989)
Annales de l'I.H.P. Analyse non linéaire
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Chowdhury, Mohammad (1998)
Serdica Mathematical Journal
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∗ The final version of this paper was sent to the editor when the author was supported by an ARC Small Grant of Dr. E. Tarafdar. Existence theorems of generalized variational inequalities and generalized complementarity problems are obtained in topological vector spaces for demi operators which are upper hemicontinuous along line segments in a convex set X. Fixed point theorems are also given in Hilbert spaces for set-valued operators T which are upper hemicontinuous along line...
Gadhi, N. (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 90C29; Secondary 90C30. In this work, we use the notion of Approximate Hessian introduced by Jeyakumar and Luc [19], and a special scalarization to establish sufficient optimality conditions for constrained multiobjective optimization problems. Throughout this paper, the data are assumed to be of class C^1, but not necessarily of class C^(1.1).
Ottavio Caligaris, Pietro Oliva (1980)
Rendiconti del Seminario Matematico della Università di Padova
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Durea, M. (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 46A30, 54C60, 90C26. In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential. One of these results provides a necessary optimality condition for an optimization problem which arise naturally from a class of wide studied problems. In the second result we establish a sufficient condition for the metric regularity of a set-valued map without continuity assumptions.
E. N. Barron, R. R. Jensen, C. Y. Wang (2001)
Annales de l'I.H.P. Analyse non linéaire
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