pointed cone
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2008 ◽  
Vol 47 (5) ◽  
pp. 3522-3523 ◽  
Author(s):  
Akihiko Murai ◽  
Daniel B. Thompson ◽  
Hirohiko Hirasawa ◽  
Natalie Fellows ◽  
Stuart Brinkley ◽  
...  

1999 ◽  
Vol 60 (1) ◽  
pp. 81-94 ◽  
Author(s):  
Gerald Beer

By a convex mode of convergence to infinity 〈Ck〉, we mean a sequence of nonempty closed convex subsets of a normed linear space X such that for each k, Ck+1 ⊆ int Ck and and a sequence 〈xn〉 is X is declared convergent to infinity with respect to 〈Ck〉 provided each Ck contains xn eventually. Positive convergence to infinity with respect to a pointed cone with nonempty interior as well as convergence to infinity in a fixed direction fit within this framework. In this paper we study the representation of convex modes of convergence to infinity by quasi-concave functions and associated remetrizations of the space.


AIAA Journal ◽  
1967 ◽  
Vol 5 (4) ◽  
pp. 789-791 ◽  
Author(s):  
GlNO MORETTI
Keyword(s):  

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