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Generalization of \(C^{1,1}\) property in infinite dimension. (English) Zbl 1352.65151

The authors consider the generalization of \(C^{1,1}\) property, which leads to the class of \(\ell\)-stable functions. Two formally different definitions of \(\ell\)-stability in infinite dimension are studied. In addition, the authors show that the considered two definitions of \(\ell\)-stability are equivalent.

MSC:

65K05 Numerical mathematical programming methods
90C30 Nonlinear programming
90C29 Multi-objective and goal programming
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