Given a function f in the class C^(1,1)B(0, r), where B(0, r) denotes a ball of radius r in a real Banach space E, we provide the definition of a positive extended real number c*(f ) defined through the function, that plays a role in the study of the sensitivity of the Argmin map of the perturbed function F_g (p, u) = f (u) − g(p, u). This number coincides with the number c_2(f ) introduced by Zolezzi (2003) if linear perturbations g(p, u) = <p, u> are considered.

Bianchi, M., Kassay, G., Pini, R., Conditioning for optimization problems under general perturbations, <<NONLINEAR ANALYSIS>>, 2012; 2012 (75): 37-45. [doi:10.1016/j.na.2011.07.061] [http://hdl.handle.net/10807/15203]

Conditioning for optimization problems under general perturbations

Bianchi, Monica;Pini, Rita
2012

Abstract

Given a function f in the class C^(1,1)B(0, r), where B(0, r) denotes a ball of radius r in a real Banach space E, we provide the definition of a positive extended real number c*(f ) defined through the function, that plays a role in the study of the sensitivity of the Argmin map of the perturbed function F_g (p, u) = f (u) − g(p, u). This number coincides with the number c_2(f ) introduced by Zolezzi (2003) if linear perturbations g(p, u) = are considered.
2012
Inglese
Bianchi, M., Kassay, G., Pini, R., Conditioning for optimization problems under general perturbations, <<NONLINEAR ANALYSIS>>, 2012; 2012 (75): 37-45. [doi:10.1016/j.na.2011.07.061] [http://hdl.handle.net/10807/15203]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/15203
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