Wang, Yachao; Guo, Tiexin Random \(\delta\)-nearsurjective \(\varepsilon\)-isometries on random normed modules. (English) Zbl 1528.46009 J. Nonlinear Convex Anal. 24, No. 3, 535-551 (2023). MSC: 46B04 46H25 46S50 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{T. Guo}, J. Nonlinear Convex Anal. 24, No. 3, 535--551 (2023; Zbl 1528.46009) Full Text: Link
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; Wang, Yachao; Chen, Goong; Xu, Hong-kun; Yuan, George Xianzhi The noncompact Schauder fixed point theorem in random normed modules and its applications. arXiv:2104.11095 Preprint, arXiv:2104.11095 [math.FA] (2021). MSC: 46A50 46H25 47H10 54H25 91A15 BibTeX Cite \textit{T. Guo} et al., ``The noncompact Schauder fixed point theorem in random normed modules and its applications'', Preprint, arXiv:2104.11095 [math.FA] (2021) Full Text: arXiv OA License
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; Wang, Yachao; Yang, Bixuan; Zhang, Erxin On \(d\)-\(\sigma\)-stability in random metric spaces and its applications. (English) Zbl 1476.46001 J. Nonlinear Convex Anal. 21, No. 6, 1297-1316 (2020). MSC: 46A19 47H40 54H25 54E40 54E50 60H25 PDFBibTeX XMLCite \textit{T. Guo} et al., J. Nonlinear Convex Anal. 21, No. 6, 1297--1316 (2020; Zbl 1476.46001) Full Text: arXiv Link
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