Geodesic
l-stable Functions and Constrained Optimization
Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 129-134

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The class of ℓ-stable at a point functions defined in [2] and being larger than the class of C1,1 functions, it is generalized from scalar to vector functions. Some properties of the ℓ-stable vector functions are proved. It is shown that constrained vector optimization problems with ℓ-stable data admit second-order conditions in terms of directional derivatives, which generalizes the results from [2] and [5]. *2000 Mathematics Subject Classification: 90C29, 90C30, 90C46, 49J52.
Keywords: Vector Optimization, L-stable Functions, Second-order Conditions 
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Ginchev, Ivan. l-stable Functions and Constrained Optimization. Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 129-134. http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a9/