Necessary and sufficient conditions for multiobjective optimization problems

Optimization

Volumn 36, Issue 2, 1996, Pages 97-104

  Taa, A ^a  

^a FACULTÉ DES SCIENCES ET TECHNIQUES GUÉLIZ   (Morocco)

Author keywords

Compact base; Contingent derivative; Multiobjective optimization problem; Pareto minimal point; S derivative; Set valued map

Indexed keywords

EID: 0030443902     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331939608844169     Document Type: Article

References (5)

1. Aubin, J. P. (1981), Contingent Derivatives of Set-Valued Maps and Existence of Solutions in Non-linear Inclusions and Differential Inclusions, Advances in Mathematics, Supplementary Studies, Edited by L. Nachbin, Academic Press, New York, pp. 160-232
2. Luc, D. T. (1991), Contingent Derivatives of Set-Valued Maps and Applications to Vector Optimization, Mathematical Programming, 50, pp. 99-111
3. Penot, J. P. (1984), Differentiability of Relations and Differential Stability of Perturbed Optimization Problems, SIAM Journal on Control and Optimization, 22, pp. 529-551
4. Shi, D. S. (1991), Contingent Derivative of the Perturbation Map in Multiobjective Optimization, Journal of Optimization Theory and Applications, 70 (2), pp.385-395
5. Tanino, T. (1988). Sensitivity Analysis in Multiobjective Optimization, Journal of Optimization Theory and Applications, 56 (3), pp. 479-499