Geodesic
Some Structures Related to Metric Projections in Orlicz Spaces
Colloquium Mathematicum, Tome 81 (1999) no. 2, pp. 223-235
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We discuss k-rotundity, weak k-rotundity, C-k-rotundity, weak C-k-rotundity, k-nearly uniform convexity, k-β property, C-I property, C-II property, C-III property and nearly uniform convexity both pointwise and global in Orlicz function spaces equipped with Luxemburg norm. Applications to continuity for the metric projection at a given point are given in Orlicz function spaces with Luxemburg norm.
DOI : 10.4064/cm-81-2-223-235
Keywords: Orlicz function spaces, C-I property, C-III property, locally uniform convexity, Luxemburg norm, k-nearly uniform convexity, C-k-rotundity, nearly uniform convexity, weak k-rotundity, weak C-k-rotundity, k-β property, C-II property, k-rotundity 
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Bor-Luh Lin; Zhongrui Shi. Some Structures Related to Metric Projections in Orlicz Spaces. Colloquium Mathematicum, Tome 81 (1999) no. 2, pp. 223-235. doi: 10.4064/cm-81-2-223-235

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