61 citations · 113 across the 19 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.FA2021
Some nonlinear characterizations of reflexive Banach spaces
Yan Tang, Shiqing Zhang, Tiexin Guo
It is well known that in the calculus of variations and in optimization there exist many formulations of the fundamental propositions on the attainment of the infima of sequentiall…
math.FA2021
The fundamental theorem of affine geometry in regular -modules
Mingzhi Wu, Tiexin Guo, Long Long
Let be a probability space and the algebra of equivalence classes of real-valued random variables defined on . A left m…
math.FA2021★ 2 cited
The noncompact Schauder fixed point theorem in random normed modules and its applications
Tiexin Guo, Yachao Wang, Hong-kun Xu +2
Motivated by the randomized version of the classical Bolzano--Weierstrass theorem, in this paper we first introduce the notion of a random sequentially compact set in a random norm…