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Abstrakty
In this paper we study stability of solutions of minimization problems �(x) → min, x ∈ C, where � is a convex lower semicontinuous function and a set C is the countable intersection of a decreasing sequence of closed sets Ci in a reflexive Banach space X.
Czasopismo
Rocznik
Tom
Strony
151--160
Opis fizyczny
Bibliogr. 5 poz.
Twórcy
autor
- Department of Mathematics Technion-Israel Institute of Technology 32000, Haifa, Israel
Bibliografia
- [1] D. Butnariu, S. Reich and A. J. Zaslavski, There are many totally convex functions, J. Convex Analysis 13, 623-632 (2006).
- [2] P.G. Hewlett and A. J. Zaslavski, On the minimization of convex functions in reflexive Banach spaces, Communications in Applied Analysis, 5, 535-545, (2001).
- [3] P.G. Howlett and A. J. Zaslavski, A porosity result in convex minimization, Abstract and Applied Analysis, (2005), 319-320.
- [4] M.M. Israel and S. Reich, Extension and selection problems for nonlinear semigroups in Banach spaces, Math. Japonica, 28, 1-8, (1983).
- [5] J. Semple, Infinite positive-definite quadratic programming in a Hilbert space, 3. Optim. Theory Appl. 88, 743-749, (1996).
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-PWA7-0031-0030