ABSTRACT. Two papers with similar optimality conditions were published by I. Ginchev, and by D. Bednařík and K. Pastor independently in Nonlinear Analysis in 2011. We compare these results. We also show the equivalence of two definitions of -stability of vector functions. Moreover, we generalize another result given by I. Ginchev and V. I. Ivanov [J. Math. Anal. Appl. 340 (2008), 646-657] and compare it with the previously mentioned optimality conditions.

The class of functions with locally Lipschitz gradient, i.e., the class of C 1,1 functions, has been deeply studied and many optimization conditions has been stated for this class. A generalization of C 1,1 property leads to the class of -stable functions. In this paper, we study two formally different definitions of -stability in infinite dimension and show their equivalence.

C 12 H 22 CdN4O14, triclinic, P¯ (no. 2), a = 7.188(2) Å, b = 8.895(3) Å, c = 9.771(3) Å, α = 63.148(3)°, β = 76.750(3)°, γ = 66.225(3)°, V = 509.2(3) Å 3 , Z = 1, Rgt(F) = 0.0253, wR ref (F 2 ) = 0.0676, T = 296(2) K. CCDC no.: 1484775The crystal structure is shown in the gure. Tables 1 and 2 contain details of the measurement method and a list of the atoms including atomic coordinates and displacement parameters. Source of materialThe title compound was synthesized by a hydrothermal method under autogenous pressure. A mixture of CdCl 2 ·H 2 O

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