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Best simultaneous approximations: Norms, signatures, and asymptotic directions

Mathematical Notes, 2000
Let \(f\) be a convex symmetric radial function on \(\mathbb{R}^n\). Thus \(f\) determines a norm on \(\mathbb{R}^n\). For \(a\in \mathbb{R}^n\) and \(\lambda>0\), define the set \(B_f^\lambda(a)= \{y\in \mathbb{R}^n\mid f(y-a)\leq \lambda\}\). For \(\alpha= (\alpha_1,\dots, \alpha_n)\in \mathbb{R}^n\), a point \(\tau= (p,q)= (p,a_1,\dots, a_n)\in ...
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Location of best simultaneous approximations

Numerical Functional Analysis and Optimization, 1996
Carlos Benítez, María L Soriano
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On well posedness of best simultaneous approximation problems in Banach spaces

Science in China Series A: Mathematics, 2001
Chong Li
exaly

Closed convex sets and their best simultaneous approximation properties with applications

Optimization Letters, 2006
Hossein Mohebi, Mohebi H
exaly

Common fixed points of nonexpansive mappings with applications to best and best simultaneous approximation

Journal of Applied Analysis, 2012
Sumit Chandok, T D Narang
exaly

Best Simultaneous Approximation in Lp(I,E)

Journal of Approximation Theory, 2002
Roshdi Khalil
exaly

Downward Sets and Their Best Simultaneous Approximation Properties with Applications

Numerical Functional Analysis and Optimization, 2005
Hossein Mohebi
exaly