Mingzhi Wu

activity

20172022

collaborators

5 papers

math.FA2022

Order preserving and order reversing operators on the class of $L^{0}$ -convex functions in complete random normed modules

Mingzhi Wu, Tiexin Guo, Long Long

Based on both the fundamental theorem of affine geometry in regular $L^{0}$ -modules and the recent progress in random convex analysis, this paper characterizes the stable fully order…

math.FA2021

The fundamental theorem of affine geometry in regular $L^{0}$ -modules

Mingzhi Wu, Tiexin Guo, Long Long

Let $(Ω, F, P)$ be a probability space and $L^{0} (F)$ the algebra of equivalence classes of real-valued random variables defined on $(Ω, F, P)$ . A left m…

math.FA2019

On $L^{0}$ -convex compactness in random locally convex modules

Mingzhi Wu, Xiaolin Zeng, Shien Zhao

For the study of some typical problems in finance and economics, Žitković %[G. Žitković, Convex compactness and its applications, Math. Finan. Eco., 3(1)(2010) 1--12] introduced co…

math.AG2018

The fundamental theorem of affine geometry in $(L^{0})^{n}$

Mingzhi Wu, Long Long

Let $L^{0}$ be the algebra of equivalence classes of real valued random variables on a given probability space, and $(L^{0})^{n}$ the $n$ -ary Cartesian power of $L^{0}$ for each integer $n…

math.FA2017

$L^{0}$ --convex compactness and its applications to random convex optimization and random variational inequalities

Tiexin Guo, Erxin Zhang, Yachao Wang +1

In 2010, Gordan Žitković introduced the notion of convex compactness for a convex subset of a linear topological space and gave some important applications to both nonlinear analys…

Order preserving and order reversing operators on the class of L0-convex functions in complete random normed modules

The fundamental theorem of affine geometry in regular L0-modules

On L0-convex compactness in random locally convex modules

The fundamental theorem of affine geometry in (L0)n

L0--convex compactness and its applications to random convex optimization and random variational inequalities

Order preserving and order reversing operators on the class of $L^{0}$ -convex functions in complete random normed modules

The fundamental theorem of affine geometry in regular $L^{0}$ -modules

On $L^{0}$ -convex compactness in random locally convex modules

The fundamental theorem of affine geometry in $(L^{0})^{n}$

$L^{0}$ --convex compactness and its applications to random convex optimization and random variational inequalities