Best approximation in asymmetric normed linear spaces

2011 ◽  
Author(s):  
Wen Li ◽  
Du Zou ◽  
Deyi Li ◽  
Zhaoyuan Zhang
Keyword(s):  
Best Approximation ◽  
Linear Spaces ◽  
Normed Linear Spaces

scholarly journals Extensions of closed convex processes

2015 ◽  
Vol 31 (1) ◽  
pp. 31-37
Author(s):  
A. R. BAIAS ◽  
◽  
T. TRIF ◽  
Keyword(s):  
Best Approximation ◽  
Convex Cones ◽  
Linear Spaces ◽  
Convex Processes ◽  
Normed Linear Spaces

In this paper we provide some norm preserving extension results for real valued closed convex processes. As a consequence, we characterize afterwards, the elements of best approximation in normed linear spaces by elements of closed convex cones using closed convex processes.

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