Asymptotic behavior of relatively nonexpansive operators in Banach spaces

• Autorzy: Butnariu D. , Reich S. , Zaslavski A. J.
• Języki publikacji: EN

Abstrakty

EN

Let K be a closed convex subset of a Banach space X and let F be a nonempty closed convex subset of K. We consider complete metric spaces of self-mappings of K which fix all the points of F and are relatively nonexpansive with respect to a given convex function f on X. We prove (under certain assumptions on f) that the iterates of a generic mapping in these spaces converge strongly to a retraction onto F.

Słowa kluczowe

EN

Breman distance; convex function; fixed point; generic property; iterative algorithm; uniform space

PL

dystans Bregmana; funkcja wypukła; stały punkt; własności ogólne; algorytm iteracyjny powtarzający się; jednolita przestrzeń

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2001
• Tom: Vol. 7, nr 2
• Strony: 151--174
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Butnariu D.

• Department of Mathematics University of Haifa 31905 Haifa, Israel

autor

Reich S.

• Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel

autor

Zaslavski A. J.

• Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel

Bibliografia

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