研究领域
主要从事泛函分析理论与应用方面的研究工作。研究方向包括:
泛函分析空间理论
概率度量线性空间上的泛函分析
模糊泛函分析
格上度量理论
算子不动点理论与应用
抽象空间的方程与包含理论
数学控制理论
论文成果
- Jian-Zhong Xiao. Fixed points of nonexpansive operators and normal structure concerning s-Orlicz convex sets.Journal of Mathematical Analysis and Applications,540(2):1-12
- Jian-Zhong Xiao. The Aleksandrov problem and the Tingley problem for expansive and nonexpansive operators in p-normed.Operators and Matrices.2024,18(1):53-67
- Ying Lu. Volumes of s-Orlicz convex simplices and geometric inequalities in higher dimensional spaces.Journal of Mathematical Analysis and Applications.2024,530(1):1-13
- Jian-Zhong Xiao. Examples properties and applications of fuzzy inner product spaces.Soft Computing.2023,27:239-256
- Jian-Zhong Xiao. Some properties and applications of Menger probabilistic inner product spaces.Fuzzy Sets and Systems.2022,451:398-416
- Jian-Zhong Xiao. Extension of isometries between the unit spheres of p-normed spaces.Annals of Functional Analysis.2022,13:25:1-10
- Jian-Zhong Xiao. Approximating common fixed points of asymptotically nonexpansive cosine families in Hilbert spaces b.Fixed Point Theory.2021,22(1):377-390
- Jian-Zhong Xiao. HAUSDORFF PRODUCT MEASURES AND C-1-SOLUTION SETS OF ABSTRACT SEMILINEAR FUNCTIONAL DIFFERENTIAL INCL.Topological Methods in Nonlinear Analysis.2017,49(1):273-298
- Jian-Zhong Xiao. On the topological structure of KM fuzzy metric spaces and normed spaces.IEEE Transactions on Fuzzy Systems.2020,28(8):1575-1584
- 肖建中. Comments on “Fuzzy inner product spaces”.Fuzzy Sets and Systems,373(373)