Finite-dimensional optimality conditions: B-gradients (Q1107095)

The B-gradients are a convex set of generalized gradients contained in Clarke's generalized gradients [see \textit{F. H. Clarke}, Trans. Am. Math. Soc. 205, 247-262 (1975; Zbl 0307.26012); see also Optimization and nonsmooth analysis (1983; Zbl 0582.49001)]. These gradients retain many of the nice properties of Clarke's generalized gradients. In this paper, necessary conditions for optimality in finite-dimensional perturbed optimization problems are given. A calmness condition is used for a constraint qualification.