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.
@article{bwmeta1.element.bwnjournal-article-cmv81i2p223bwm,
author = {Bor-Luh Lin and Zhongrui Shi},
title = {Some Structures Related to Metric Projections in Orlicz Spaces},
journal = {Colloquium Mathematicae},
volume = {79},
year = {1999},
pages = {223-235},
zbl = {0942.46018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv81i2p223bwm}
}
Lin, Bor-Luh; Shi, Zhongrui. Some Structures Related to Metric Projections in Orlicz Spaces. Colloquium Mathematicae, Tome 79 (1999) pp. 223-235. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv81i2p223bwm/
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