Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In the paper we discuss the concepts of weak sharp solutions to vector optimization problems. As an application we provide sufficient conditions for stability of solutions in perturbed vector optimization problems.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
563--570
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
- Systems Research Institute of the PAS, ul. Newelska 6, 01-447 Warsaw, Poland
Bibliografia
- ATTOUCH, H. and WETS, R.J.-B. (1993) Quantitative stability of variational systems II. A framework for nonlinear conditioning. SIAM J. Optim. 3, 359-381.
- AUSLANDER, A. and CROUZEIX, J.-P. (1988) Global regularity conditions. Math, of O.R. 13, 243-253.
- AZÉ, D. and J.-N.CORVELLEC (2002) On the sensitivity analysis of Hoffmann constants for systems of linear inequalities. SIAM J. Optim. 12, 913-927.
- BEDNARCZUK, E.M. (2004) Weak sharp efficiency and growth conditin for vector-valued functions with applications. Optimization 53, (5-6), 455-474
- BEDNARCZUK, E.M. (2007) Stability analysis for parametric vector optimization problems. Dissertationes Mathematicae, 442, Warsaw.
- BONNANS, F. and SHAPIRO, A. (2000) Perturbation Analysis of Optimization Problems. Springer Verlag, New York.
- BURKE, J.V. and DENG, S. (2002) Weak Sharp Minima Revisited. Part I: Basic Theory. Control and Cybernetics 31, 439-471.
- DENG, S. and YANG, X.Q. (2004) Weak sharp minima in multicriteria linear programming. SIAM J.Optim. 15,456-460.
- JIMÉNEZ, B. and NOVO, V. (2003) First and second order sufficient conditions for strict minimality in nonsmooth vector optimization. JMAA 284, 496-510.
- MIGLIERINA, E. and MOLHO, E. (2003) Well-posedness and convexity in vector optimization. Math. Meth. Op. Res. 58, 375-385.
- MIGLIERINA, E. and MOLHO, E. (2005) Convergence of minimal sets in convex vector optimization. SIAM J. Opt. 15,513-526.
- STUDNIARSKI, M. (2007) Weak sharp minima in multiobjective optimization. preprint
- ZAFFARONI, A. (2003) Degrees of efficiency and degrees of minimality. SIAM J. Control and Optim. 42, 1071-1086.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0017-0054