Asymptotic behavior of compositions of under-relaxed nonexpansive operators

Autor: Roberto Cominetti, Patrick L. Combettes, Jean-Bernard Baillon

Publikováno v: Journal of Dynamics and Games (JDG)
Journal of Dynamics and Games (JDG), Springer, 2014, JDG, 1 (3), pp.331-346
Journal of Dynamics and Games
Journal of Dynamics and Games, 2014, 1 (3), pp.331-346. ⟨10.3934/jdg.2014.1.331⟩
Journal of Dynamics and Games, AIMS, 2014, 1, pp.331-346. ⟨10.3934/jdg.2014.1.331⟩
Journal of Dynamics and Games (JDG), 2014, JDG, 1 (3), pp.331-346
Journal of Dynamics and Games, 2014, 1, pp.331-346. ⟨10.3934/jdg.2014.1.331⟩
Journal of Dynamics and Games, AIMS, 2014, 1 (3), pp.331-346. ⟨10.3934/jdg.2014.1.331⟩

International audience; In general there exists no relationship between the fixed point sets of the composition and of the average of a family of nonexpansive operators in Hilbert spaces. In this paper, we establish an asymptotic principle connecting

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c226c2e4c399346a7aa399881d38ca8
https://hal.archives-ouvertes.fr/hal-00818272