Uniform Rotundity and k-Uniform Rotundity in Musielak-Orlicz-Bochner Function Spaces and Applications

作者：Shang, Shaoqiang^*; Cui, Yunan

来源：Journal of Convex Analysis, 2015, 22(3): 747-768.

• Musielak-Orlicz-Bochner function spaces
• uniform rotundity
• k-uniform rotundity
• Orlicz norm
• fixed point

In this paper, 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.

• 出版日期2015
• 单位哈尔滨学院; 东北林业大学