linear regularity
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Author(s):  
Camillo De Lellis ◽  
Jonas Hirsch ◽  
Andrea Marchese ◽  
Salvatore Stuvard


2019 ◽  
Vol 29 (3) ◽  
pp. 2291-2319
Author(s):  
Zongshan Shen ◽  
Jen-Chih Yao ◽  
Xi Yin Zheng


2017 ◽  
Vol 78 (3) ◽  
pp. 613-641 ◽  
Author(s):  
Xiaopeng Zhao ◽  
Kung Fu Ng ◽  
Chong Li ◽  
Jen-Chih Yao




EP Europace ◽  
2014 ◽  
Vol 16 (suppl 4) ◽  
pp. iv141-iv147 ◽  
Author(s):  
S. Cerutti ◽  
V. D. A. Corino ◽  
L. Mainardi ◽  
F. Lombardi ◽  
M. Aktaruzzaman ◽  
...  




2014 ◽  
Vol 20 (1) ◽  
pp. 1-6 ◽  
Author(s):  
Simeon Reich ◽  
Alexander J. Zaslavski

Abstract.H. H. Bauschke and J. M. Borwein showed that in the space of all tuples of bounded, closed, and convex subsets of a Hilbert space with a nonempty intersection, a typical tuple has the bounded linear regularity property. This property is important because it leads to the convergence of infinite products of the corresponding nearest point projections to a point in the intersection. In the present paper we show that the subset of all tuples possessing the bounded linear regularity property has a porous complement. Moreover, our result is established in all normed spaces and for tuples of closed and convex sets, which are not necessarily bounded.





2013 ◽  
Vol 89 (2) ◽  
pp. 217-226 ◽  
Author(s):  
SIMEON REICH ◽  
ALEXANDER J. ZASLAVSKI

AbstractWe study bounded linear regularity of finite sets of closed subspaces in a Hilbert space. In particular, we construct for each natural number $n\geq 3$ a set of $n$ closed subspaces of ${\ell }^{2} $ which has the bounded linear regularity property, while the bounded linear regularity property does not hold for each one of its nonempty, proper nonsingleton subsets. We also establish a related theorem regarding the bounded regularity property in metric spaces.



2013 ◽  
Vol 145 (1-2) ◽  
pp. 97-131 ◽  
Author(s):  
Zhou Wei ◽  
Jen-Chih Yao ◽  
Xi Yin Zheng
Keyword(s):  


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