On scalar and vector ℓ -stable functions
The notion of a scalar function that is ℓ -stable at a point is introduced in [D. Bednařík, K. Pastor, On second-order conditions in unconstrained optimization, Math. Program. Ser. A 113 (2008) 283–298]. In the present paper a characterization of the ℓ -stable functions is obtained. Further, the not...
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| Veröffentlicht in: | Nonlinear analysis 2011, Vol.74 (1), p.182-194 |
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| container_title | Nonlinear analysis |
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| creator | Ginchev, Ivan |
| description | The notion of a scalar function that is
ℓ
-stable at a point is introduced in [D. Bednařík, K. Pastor, On second-order conditions in unconstrained optimization, Math. Program. Ser. A 113 (2008) 283–298]. In the present paper a characterization of the
ℓ
-stable functions is obtained. Further, the notion of an
ℓ
-stable function is generalized from scalar to vector functions. In an application, optimality conditions for constrained vector problems with
ℓ
-stable data are established. |
| doi_str_mv | 10.1016/j.na.2010.08.032 |
| format | Article |
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ℓ
-stable at a point is introduced in [D. Bednařík, K. Pastor, On second-order conditions in unconstrained optimization, Math. Program. Ser. A 113 (2008) 283–298]. In the present paper a characterization of the
ℓ
-stable functions is obtained. Further, the notion of an
ℓ
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ℓ
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ℓ
-stable at a point is introduced in [D. Bednařík, K. Pastor, On second-order conditions in unconstrained optimization, Math. Program. Ser. A 113 (2008) 283–298]. In the present paper a characterization of the
ℓ
-stable functions is obtained. Further, the notion of an
ℓ
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ℓ
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ℓ
-stable at a point is introduced in [D. Bednařík, K. Pastor, On second-order conditions in unconstrained optimization, Math. Program. Ser. A 113 (2008) 283–298]. In the present paper a characterization of the
ℓ
-stable functions is obtained. Further, the notion of an
ℓ
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ℓ
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| source | Elsevier ScienceDirect Journals |
| subjects | [formula omitted] functions [formula omitted]-stable functions Calculus of variations and optimal control Exact sciences and technology Lipschitz functions Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Optimality conditions Sciences and techniques of general use Vector optimization |
| title | On scalar and vector ℓ -stable functions |
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