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Języki publikacji
Abstrakty
We define order-Lipschitzian properties of multifunctions and we investigate local upper order-lipschitzness and order-calmness of efficient points of a set depending upon a parameter.
Czasopismo
Rocznik
Tom
Strony
491--502
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
- Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warszawa, Poland
Bibliografia
- Bednarczuk, E.M. (2002a) Upper Holder continuity of minimal points. Journal of Convex Analysis, 9, 327-338.
- Bednarczuk, E.M. (2002b) H˝older-like properties of minimal points in vector optimization. Control and Cybernetics, 31, 423-438.
- Bonnans, F.J. and Shapiro A. (2000) Perturbation Analysis of Optimization Problems. Springer-Verlag, New York.
- Henrion, R. and Outrata, J. (2001) A subdifferential condition for calmness of multifunctions. Journal of Mathematical Analysis and Applications, 258, 110-130.
- Jingwei, K. (1996) Nonsmooth Analysis: Quasilinear Approximations with orders. Nonlinear Analysis, Theory and Applications, 27, 493-538.
- Klatte, D. and Kummer, B., Constrained minimal and Lipschitzian penalties in metric spaces, to appear.
- Malanowski, K. (2001) Stability and Sensitvity Analysis for Optimal Control Problems with Control State Constraints. Dissertationes Mathematical, CCCXCIV.
- Nikodem, K. (1986) Continuity of K−convex set-valued functions. Bulletin of the Polish Academy of Sciences, series Mathematics, 34, 393-400.
- Papageorgiou, N.S. (1983) Nonsmooth analysis on partially ordered vector spaces: Part I - convex case. Pacific Journal of Mathematics, 107, 403- 458
- Papageorgiou, N.S. (1983) Nonsmooth analysis on partially ordered vector spaces: Part2 - Nonconvex case, Clarke’s Theory. Pacific Journal of Mathematics, 109, 463-495.
- Papageorgiou N.S. (1986) Nonsmooth analysis on partially ordered vector spaces: the subdifferential theory. Nonlinear Analysis, 10, 615-637.
- Penot, J.-P. and Sterna-Karwat, A. (1989) Parametrised multicriteria optimization: order continuity of the marginal multifunctions. Journal of Mathematical Analysis and Applications, 144, 1-15.
- Penot, J-P. and Thera M. (1982) ´ Semi-continuous mappings in general topology. Arch.Math., 38, 158-166.
- Peressini, A. (1967) Ordered Topological Vector Spaces. Harper and Row, New York 1967.
- Robinson, S. (1976) Regularity and stability for convex multivalued functions. Mathematics of OR, 1, 130-143.
- Schaefer, H. (1974) Banach Lattice and Positive Operators. Springer Verlag, Berlin-Heidelberg-New York.
- Schaefer, H. (1971) Topological Vector Spaces. Graduate Texts in Math., 3, Springer Verlag.
- Sterna-Karwat, A. (1986) A note on the solution set in optimization with respect to cones. Optimization, 17, 297-303.
- Sterna-Karwat, A., (1989) Convexity of the optimal multifunctions and its consequences in vector optimization. Optimization, 20, 799-807
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0007-0019