From scalar to vector optimization
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References listed on IDEAS
- La Torre Davide & Rocca Matteo, 2002.
"C 1,1 functions and optimality conditions,"
Economics and Quantitative Methods
qf0208, Department of Economics, University of Insubria.
- Davide La Torre & Matteo Rocca, 2002. "C1,1 functions and optimality conditions," Departmental Working Papers 2002-13, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
- S. Bolintinéanu & M. El Maghri, 1998. "Second-Order Efficiency Conditions and Sensitivity of Efficient Points," Journal of Optimization Theory and Applications, Springer, vol. 98(3), pages 569-592, September.
- J. B. Hiriart-Urruty, 1979. "Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces," Mathematics of Operations Research, INFORMS, vol. 4(1), pages 79-97, February.
- Ginchev Ivan & Guerraggio Angelo & Rocca Matteo, 2002. "On second-order conditions in vector optimization," Economics and Quantitative Methods qf0218, Department of Economics, University of Insubria.
- E. Miglierina & E. Molho, 2002. "Scalarization and Stability in Vector Optimization," Journal of Optimization Theory and Applications, Springer, vol. 114(3), pages 657-670, September.
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More about this item
Keywords
Scalar and vector optimization; C1; 1 functions; Hadamard and Dini derivatives; second-order optimality conditions; Lagrange multipliers.;All these keywords.
JEL classification:
- C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
NEP fields
This paper has been announced in the following NEP Reports:- NEP-MIC-2003-07-13 (Microeconomics)
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