Guo, Tiexin; Zhang, Erxin; Wang, Yachao; Wu, Mingzhi \(L^0\)-convex compactness and its applications to random convex optimization and random variational inequalities. (English) Zbl 1479.46005 Optimization 70, No. 5-6, 937-971 (2021). MSC: 46A16 46A50 46N10 49J40 58E35 PDFBibTeX XMLCite \textit{T. Guo} et al., Optimization 70, No. 5--6, 937--971 (2021; Zbl 1479.46005) Full Text: DOI arXiv
Guo, Tiexin; Zhang, Erxin; Wang, Yachao; Yuan, George \(L^0\)-convex compactness and random normal structure in \(L^0(\mathcal{F}, B)\). (English) Zbl 1499.46009 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 2, 457-469 (2020). MSC: 46A16 46A99 60H05 47H10 PDFBibTeX XMLCite \textit{T. Guo} et al., Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 2, 457--469 (2020; Zbl 1499.46009) Full Text: DOI arXiv
Guo, Tiexin; Zhang, Erxin; Wang, Yachao; Guo, Zichen Two fixed point theorems in complete random normed modules and their applications to backward stochastic equations. (English) Zbl 1471.60086 J. Math. Anal. Appl. 483, No. 2, Article ID 123644, 30 p. (2020). MSC: 60H10 46H25 47H10 PDFBibTeX XMLCite \textit{T. Guo} et al., J. Math. Anal. Appl. 483, No. 2, Article ID 123644, 30 p. (2020; Zbl 1471.60086) Full Text: DOI arXiv
Guo, Tiexin On some basic theorems of continuous module homomorphisms between random normed modules. (English) Zbl 1295.46036 J. Funct. Spaces Appl. 2013, Article ID 989102, 13 p. (2013). MSC: 46H25 46A30 PDFBibTeX XMLCite \textit{T. Guo}, J. Funct. Spaces Appl. 2013, Article ID 989102, 13 p. (2013; Zbl 1295.46036) Full Text: DOI
Zhang, Xia; Guo, Tiexin Von Neumann’s mean ergodic theorem on complete random inner product modules. (English) Zbl 1235.47015 Front. Math. China 6, No. 5, 965-985 (2011). Reviewer: Anatolij M. Plichko (Krakow) MSC: 47A35 46H25 46C50 47B80 60G57 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{T. Guo}, Front. Math. China 6, No. 5, 965--985 (2011; Zbl 1235.47015) Full Text: DOI
Guo, Tiexin Recent progress in random metric theory and its applications to conditional risk measures. (English) Zbl 1238.46058 Sci. China, Math. 54, No. 4, 633-660 (2011). MSC: 46S50 46A22 46A25 46H25 47H40 52A41 91B16 91B30 91B70 PDFBibTeX XMLCite \textit{T. Guo}, Sci. China, Math. 54, No. 4, 633--660 (2011; Zbl 1238.46058) Full Text: DOI arXiv
Guo, Tiexin; Shi, Guang The algebraic structure of finitely generated \(L^0(\mathcal F, K)\)-modules and the Helly theorem in random normed modules. (English) Zbl 1230.46064 J. Math. Anal. Appl. 381, No. 2, 833-842 (2011). MSC: 46S50 PDFBibTeX XMLCite \textit{T. Guo} and \textit{G. Shi}, J. Math. Anal. Appl. 381, No. 2, 833--842 (2011; Zbl 1230.46064) Full Text: DOI arXiv
Guo, TieXin; Chen, XinXiang Random duality. (English) Zbl 1193.46048 Sci. China, Ser. A 52, No. 10, 2084-2098 (2009). MSC: 46S50 46A20 46A16 46H05 46H25 PDFBibTeX XMLCite \textit{T. Guo} and \textit{X. Chen}, Sci. China, Ser. A 52, No. 10, 2084--2098 (2009; Zbl 1193.46048) Full Text: DOI