PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

On weak sharp minima in vector optimization with applications to parametric problems

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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
Rocznik
Strony
563--570
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
  • 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
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.