Convergence theorems for lp-norm minimizers with respect to p

K. Kido

doi:10.1007/s10957-005-2090-6

Convergence theorems for l_p-norm minimizers with respect to p

K. Kido

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Let C be a fixed compact convex subset of ℝ₊₊ and let x _p be the unique minimal l_p-norm element in C for any p: \ 1<p<\∞. In this paper, we study the convergence of x _p as p→ ∞ or p ↘ 1, respectively. We characterize also the limit point as the minimal element of C with respect to the lexical minimax order relation or the lexical minitotal order relation, respectively.

Original language	English
Pages (from-to)	577-589
Number of pages	13
Journal	Journal of Optimization Theory and Applications
Volume	125
Issue number	3
DOIs	https://doi.org/10.1007/s10957-005-2090-6
Publication status	Published - 2005 Jun
Externally published	Yes

Keywords

Approximations
Lexicographical orders
Minimum-norm problems
l-norm

ASJC Scopus subject areas

Management Science and Operations Research
Control and Optimization
Applied Mathematics

Access to Document

10.1007/s10957-005-2090-6

Cite this

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