Geodesic
Uniform Rotundity and k-Uniform Rotundity in Musielak-Orlicz-Bochner Function Spaces and Applications
Journal of convex analysis, Tome 22 (2015) no. 3, pp. 747-768
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We give criteria for uniform rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given. We also prove that, in Musielak-Orlicz-Bochner function spaces, uniform rotundity and $k$-uniform rotundity are equivalent. Moreover, we give a sufficient condition for a Musielak-Orlicz-Bochner function space to have the fixed point property.
Classification : 46E30, 46B20
Mots-clés : Musielak-Orlicz-Bochner function spaces, uniform rotundity, k-uniform rotundity, Orlicz norm, fixed point 
@article{JCA_2015_22_3_JCA_2015_22_3_a8,
     author = {S. Shang and Y. Cui},
     title = {Uniform {Rotundity} and {k-Uniform} {Rotundity} in {Musielak-Orlicz-Bochner} {Function} {Spaces} and {Applications}},
     journal = {Journal of convex analysis},
     pages = {747--768},
     year = {2015},
     volume = {22},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2015_22_3_JCA_2015_22_3_a8/}
}
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S. Shang; Y. Cui. Uniform Rotundity and k-Uniform Rotundity in Musielak-Orlicz-Bochner Function Spaces and Applications. Journal of convex analysis, Tome 22 (2015) no. 3, pp. 747-768. http://geodesic.mathdoc.fr/item/JCA_2015_22_3_JCA_2015_22_3_a8/