## Found 13 Documents (Results 1–13)

100
MathJax

### Characterization of sets with continuous metric projection in the space $$\ell^\infty_n$$. (English. Russian original)Zbl 1452.41016

Math. Notes 108, No. 3, 309-317 (2020); translation from Mat. Zametki 108, No. 3, 323-333 (2020).
MSC:  41A65 41A50
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### Continuity of the metric projection and local solar properties of sets. Continuity of the metric projection and local solar properties of sets, continuity of the metric projection and solar properties. (English)Zbl 1423.41050

MSC:  41A65 54C65
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MSC:  41A50

### Selections of the metric projection operator and strict solarity of sets with continuous metric projection. (English. Russian original)Zbl 1426.41039

Sb. Math. 208, No. 7, 915-928 (2017); translation from Mat. Sb. 208, No. 7, 3-18 (2017).
MSC:  41A65 54C65
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### A monotone path-connected set with outer radially lower continuous metric projection is a strict sun. (English. Russian original)Zbl 1376.46014

Sib. Math. J. 58, No. 1, 11-15 (2017); translation from Sib. Mat. Zh. 58, No. 1, 16-21 (2017).
MSC:  46B20 41A65
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### Connectedness and solarity in problems of best and near-best approximation. (English. Russian original)Zbl 1350.41031

Russ. Math. Surv. 71, No. 1, 1-77 (2016); translation from Usp. Mat. Nauk 71, No. 1, 3-84 (2016).
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### On finite-dimensional Banach spaces in which suns are connected. (English)Zbl 1474.46027

MSC:  46B20 41A50 41A65
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### Monotone path-connectedness of $$R$$-weakly convex sets in spaces with linear ball embedding. (English)Zbl 1269.46009

MSC:  46B20 41A65
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### On suns in linear metric spaces and convex metric spaces. (English)Zbl 1234.41025

MSC:  41A65 41A50

### Some characterizations of suns in terms of fixed points in linear metric spaces. (English)Zbl 1238.41018

MSC:  41A50 41A65

### The geometric structure of Chebyshev sets in $$\ell^\infty(n)$$. (English. Russian original)Zbl 1087.41027

Funct. Anal. Appl. 39, No. 1, 1-8 (2005); translation from Funkts. Anal. Prilozh. 39, No. 1, 1-10 (2005).
MSC:  41A50
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### A geometric characterization of strict suns in the space $$l^\infty(n)$$. (English. Russian original)Zbl 1027.46503

Math. Notes 70, No. 1, 3-10 (2001); translation from Mat. Zametki 70, No. 1, 3-11 (2001).
MSC:  46B20 41A65 46B45
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### Best approximation in metric spaces. (English)Zbl 0596.41050

MSC:  41A65 41A50

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