61 citations · 113 across the 19 of their papers we have counts for
20 papers
Order preserving and order reversing operators on the class of -convex functions in complete random normed modules
Mingzhi Wu, Tiexin Guo, Long Long
Based on both the fundamental theorem of affine geometry in regular -modules and the recent progress in random convex analysis, this paper characterizes the stable fully order…
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…
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…
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…
The Hille-Yosida generation theorem for almost surely bounded --semigroups of continuous module homomorphisms
Xia Zhang, Ming Liu, Tiexin Guo
In this paper, we first study some properties peculiar to --semigroups of continuous module homomorphisms and give a characterization for such a --semigroup to be alm…
Optimization of conditional convex risk measures
Tiexin Guo
Optimization of conditional convex risk measure is a central theme in dynamic portfolio selection theory, which has not yet systematically studied in the previous literature perhap…