## Guo, Tiexin

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 Author ID: guo.tiexin Published as: Guo, Tiexin; Guo, Tie Xin; Guo, Tie-Xin; Guo, TieXin; Guo, Tie-xin more...less
 Documents Indexed: 69 Publications since 1975 Co-Authors: 31 Co-Authors with 49 Joint Publications 361 Co-Co-Authors
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### Co-Authors

 17 single-authored 7 Zeng, Xiaolin 5 Zhang, Erxin 5 Zhao, Shien 4 Ren, Yanbo 4 Wang, YaChao 4 Yang, Bixuan 4 You, Zhaoyong 4 Zhang, Xia 3 Chen, Xinxiang 3 Wu, Mingzhi 2 Lin, Xi 2 Liu, Mingxue 2 Wu, Jinbiao 2 Xiao, Haixia 2 Zhu, Linhu 1 Avazzadeh, Zakieh 1 Chew, Yong-Tian 1 Grecos, Alkis P. 1 Guo, Zichen 1 Jin, Guohua 1 Li, Kehua 1 Li, Shaobin 1 Liu, Ming 1 Long, Long 1 Lou, Taishan 1 Ma, Ruiping 1 Meng, Yongsen 1 Ni, Dan 1 Nikan, Omid 1 Peng, Sheng-Lan 1 Qiu, Wenlin 1 Shi, Guang 1 Su, Mingde 1 Tang, Yan 1 Tang, Yuehan 1 Yang, Yujie 1 Zhou, Guojun
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### Serials

 8 Journal of Mathematical Analysis and Applications 7 Journal of Xiamen University. Natural Science 5 Science in China. Series A 5 Journal of Mathematical Study 4 Acta Mathematica Sinica. English Series 4 Acta Analysis Functionalis Applicata. AAFA 3 Journal of Nonlinear and Convex Analysis 3 Science China. Mathematics 3 Scientia Sinica. Mathematica 2 Journal of Approximation Theory 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Mathematica Scientia. Series B. (English Edition) 1 Computer Methods in Applied Mechanics and Engineering 1 Physica A 1 Journal of Functional Analysis 1 Southeast Asian Bulletin of Mathematics 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series A 1 Advances in Mathematics 1 Optimization 1 Northeastern Mathematical Journal 1 International Journal of Mathematics 1 Systems Science and Mathematical Sciences 1 Chinese Science Bulletin 1 Applied Mathematics. Series A (Chinese Edition) 1 Computational and Applied Mathematics 1 Mathematical Inequalities & Applications 1 Control Theory & Applications 1 Journal of Function Spaces and Applications 1 Frontiers of Mathematics in China 1 Chinese Journal of Engineering Mathematics 1 Asian Journal of Control
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### Fields

 53 Functional analysis (46-XX) 21 Probability theory and stochastic processes (60-XX) 19 Operator theory (47-XX) 11 General topology (54-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Convex and discrete geometry (52-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

50 Publications have been cited 466 times in 78 Documents Cited by Year
Relations between some basic results derived from two kinds of topologies for a random locally convex module. Zbl 1198.46058
Guo, Tiexin
2010
Some basic theories of random normed linear spaces and random inner product spaces. Zbl 0965.46010
Guo, Tiexin
1999
The James theorem in complete random normed modules. Zbl 1077.46061
Guo, Tiexin; Li, Shaobin
2005
Recent progress in random metric theory and its applications to conditional risk measures. Zbl 1238.46058
Guo, Tiexin
2011
Extension theorems of continuous random linear operators on random domains. Zbl 0879.47018
Guo, Tiexin
1995
A basic strict separation theorem in random locally convex modules. Zbl 1184.46068
Guo, Tiexin; Xiao, Haixia; Chen, Xinxiang
2009
The relation of Banach–Alaoglu theorem and Banach–Bourbaki–Kakutani–Šmulian theorem in complete random normed modules to stratification structure. Zbl 1167.46049
Guo, Tiexin
2008
Random strict convexity and random uniform convexity in random normed modules. Zbl 1202.46055
Guo, Tiexin; Zeng, Xiaolin
2010
The algebraic structure of finitely generated $$L^0(\mathcal F, K)$$-modules and the Helly theorem in random normed modules. Zbl 1230.46064
Guo, Tiexin; Shi, Guang
2011
Radon-Nikodým property of conjugate Banach spaces and $$w^*$$-equivalence theorems of $$w^*-\mu$$-measurable functions. Zbl 0868.46014
Guo, Tiexin
1996
Survey of recent developments of random metric theory and its applications in China. II. Zbl 0989.54036
Guo, Tiexin
2001
Module homomorphisms on random normed modules. Zbl 0858.60012
Guo, Tiexin
1996
Representation theorems of the dual of Lebesgue-Bochner function spaces. Zbl 0959.46024
Guo, Tiexin
2000
The relations among the three kinds of conditional risk measures. Zbl 1316.46004
Guo, Tiexin; Zhao, Shien; Zeng, Xiaolin
2014
Pointwise best approximation in the space of strongly measurable functions with applications to best approximation in $$L^ p(\mu,X)$$. Zbl 0808.41024
You, Zhao-Yong; Guo, Tie-Xin
1994
A characteristics for a random normed module to be random reflexive. Zbl 0902.46053
Guo, Tiexin
1997
Survey of recent developments of random metric theory and its applications in China. I. Zbl 0989.54035
Guo, Tiexin
2001
Ekeland’s variational principle for an $$\overline{L}^0$$-valued function on a complete random metric space. Zbl 1231.49014
Guo, Tiexin; Yang, Yujie
2012
Random duality. Zbl 1193.46048
Guo, TieXin; Chen, XinXiang
2009
On some basic theorems of continuous module homomorphisms between random normed modules. Zbl 1295.46036
Guo, Tiexin
2013
A characterization for an $$L(\mu,K)$$-topological module to admit enough canonical module homomorphisms. Zbl 1014.46018
Guo, Tie-Xin; Peng, Sheng-Lan
2001
A characterization of continuous module homomorphisms on random semi-normed modules and its applications. Zbl 1027.60069
Guo, Tie Xin; Zhu, Lin Hu
2003
Riesz representation theorems in random inner product modules and its applications. Zbl 0940.60067
Guo, Tiexin; You, Zhaoyong
1996
A note on pointwise best approximation. Zbl 0912.41016
Guo, Tie-Xin; You, Zhao-Yong
1998
On random convex analysis. Zbl 1396.46056
Guo, Tiexin; Zhang, Erxin; Wu, Mingzhi; Yang, Bixuan; Yuan, George; Zeng, Xiaolin
2017
An $$L^0(\mathcal F,\mathbb R)$$-valued function’s intermediate value theorem and its applications to random uniform convexity. Zbl 1275.46033
Guo, Tie Xin; Zeng, Xiao Lin
2012
Several applications of the theory of random conjugate spaces to measurability problems. Zbl 1128.46031
Guo, Tie-xin
2007
Two fixed point theorems in complete random normed modules and their applications to backward stochastic equations. Zbl 1471.60086
Guo, Tiexin; Zhang, Erxin; Wang, Yachao; Guo, Zichen
2020
The random subreflexivity of complete random normed modules. Zbl 1253.46080
Zhao, Shien; Guo, Tiexin
2012
Von Neumann’s mean ergodic theorem on complete random inner product modules. Zbl 1235.47015
Zhang, Xia; Guo, Tiexin
2011
$$L^0$$-convex compactness and its applications to random convex optimization and random variational inequalities. Zbl 1479.46005
Guo, Tiexin; Zhang, Erxin; Wang, Yachao; Wu, Mingzhi
2021
Real interpolation between martingale Hardy and BMO spaces. Zbl 1273.60050
Ren, Yan Bo; Guo, Tie Xin
2013
Some formal aspects of subdynamics. Zbl 1434.82069
Grecos, A.; Guo, T.; Guo, W.
1975
Complete random normed algebras. Zbl 1299.46050
Tang, Yuehan; Guo, Tiexin
2013
The separation theorem in random normed modules. Zbl 1046.46020
Guo, Tiexin; Xiao, Haixia
2003
Existence of nonzero continuous linear functionals on complete random normed modules. Zbl 1164.46340
Guo, Tiexin; Zeng, Xiaolin
2008
Some reviews on various definitions of a random conjugate space together with various kinds of boundedness of a random linear functional. Zbl 1096.60003
Guo, Tiexin; Ma, Ruiping
2004
Random convex analysis. II: Continuity and subdifferentiability theorems in $$L^0$$-pre-barreled random locally convex modules. Zbl 1488.46111
Guo, Tiexin; Zhao, Shien; Zeng, Xiaolin
2015
Weak atomic decompositions of martingale Hardy-Lorentz spaces and applications. Zbl 1274.60138
Ren, Yanbo; Guo, Tiexin
2012
Random convex analysis. I: Separation and Fenchel-Moreau duality in random locally convex modules. Zbl 07494311
Guo, Tiexin; Zhao, Shi’en; Zeng, Xiaolin
2015
Interpolation of Lorentz martingale spaces. Zbl 1273.60051
Ren, YanBo; Guo, TieXin
2012
Burkholder-Gundy-Davis inequality on Lorentz martingale spaces. Zbl 1308.60049
Ren, Yanbo; Guo, Tiexin
2015
On the random conjugate spaces of a random locally convex module. Zbl 1334.46066
Guo, Tie Xin; Zhao, Shi En
2012
The mean ergodic theorem on random reflexive random normed modules. Zbl 1266.47024
Zhang, Xia; Guo, Tiexin
2012
Random dual spaces. Zbl 0891.60008
Guo, Tiexin
1997
Stone’s representation theorem of a group of random unitary operators on complete complex random inner product modules. Zbl 1488.46090
Guo, Tiexin; Zhang, Xia
2012
A new numerical simulation method of high Reynolds number flow around a cylinder. Zbl 0953.76065
Guo, T.; Chew, Y. T.; Luo, S. C.; Su, M. D.
1998
A partially observed nonzero-sum stochastic differential game with delays and its application to finance. Zbl 1425.91053
Yang, Bixuan; Guo, Tiexin; Wu, Jinbiao
2019
Metrics, probabilistic metrics and random metrics. Zbl 0851.54032
Guo, Tiexin
1995
The Hille-Yosida generation theorem for almost surely bounded $$C_0$$-semigroups of continuous module homomorphisms. Zbl 1487.47074
Zhang, Xia; Liu, Ming; Guo, Tiexin
2020
$$L^0$$-convex compactness and its applications to random convex optimization and random variational inequalities. Zbl 1479.46005
Guo, Tiexin; Zhang, Erxin; Wang, Yachao; Wu, Mingzhi
2021
Two fixed point theorems in complete random normed modules and their applications to backward stochastic equations. Zbl 1471.60086
Guo, Tiexin; Zhang, Erxin; Wang, Yachao; Guo, Zichen
2020
The Hille-Yosida generation theorem for almost surely bounded $$C_0$$-semigroups of continuous module homomorphisms. Zbl 1487.47074
Zhang, Xia; Liu, Ming; Guo, Tiexin
2020
A partially observed nonzero-sum stochastic differential game with delays and its application to finance. Zbl 1425.91053
Yang, Bixuan; Guo, Tiexin; Wu, Jinbiao
2019
On random convex analysis. Zbl 1396.46056
Guo, Tiexin; Zhang, Erxin; Wu, Mingzhi; Yang, Bixuan; Yuan, George; Zeng, Xiaolin
2017
Random convex analysis. II: Continuity and subdifferentiability theorems in $$L^0$$-pre-barreled random locally convex modules. Zbl 1488.46111
Guo, Tiexin; Zhao, Shien; Zeng, Xiaolin
2015
Random convex analysis. I: Separation and Fenchel-Moreau duality in random locally convex modules. Zbl 07494311
Guo, Tiexin; Zhao, Shi&rsquo;en; Zeng, Xiaolin
2015
Burkholder-Gundy-Davis inequality on Lorentz martingale spaces. Zbl 1308.60049
Ren, Yanbo; Guo, Tiexin
2015
The relations among the three kinds of conditional risk measures. Zbl 1316.46004
Guo, Tiexin; Zhao, Shien; Zeng, Xiaolin
2014
On some basic theorems of continuous module homomorphisms between random normed modules. Zbl 1295.46036
Guo, Tiexin
2013
Real interpolation between martingale Hardy and BMO spaces. Zbl 1273.60050
Ren, Yan Bo; Guo, Tie Xin
2013
Complete random normed algebras. Zbl 1299.46050
Tang, Yuehan; Guo, Tiexin
2013
Ekeland’s variational principle for an $$\overline{L}^0$$-valued function on a complete random metric space. Zbl 1231.49014
Guo, Tiexin; Yang, Yujie
2012
An $$L^0(\mathcal F,\mathbb R)$$-valued function’s intermediate value theorem and its applications to random uniform convexity. Zbl 1275.46033
Guo, Tie Xin; Zeng, Xiao Lin
2012
The random subreflexivity of complete random normed modules. Zbl 1253.46080
Zhao, Shien; Guo, Tiexin
2012
Weak atomic decompositions of martingale Hardy-Lorentz spaces and applications. Zbl 1274.60138
Ren, Yanbo; Guo, Tiexin
2012
Interpolation of Lorentz martingale spaces. Zbl 1273.60051
Ren, YanBo; Guo, TieXin
2012
On the random conjugate spaces of a random locally convex module. Zbl 1334.46066
Guo, Tie Xin; Zhao, Shi En
2012
The mean ergodic theorem on random reflexive random normed modules. Zbl 1266.47024
Zhang, Xia; Guo, Tiexin
2012
Stone’s representation theorem of a group of random unitary operators on complete complex random inner product modules. Zbl 1488.46090
Guo, Tiexin; Zhang, Xia
2012
Recent progress in random metric theory and its applications to conditional risk measures. Zbl 1238.46058
Guo, Tiexin
2011
The algebraic structure of finitely generated $$L^0(\mathcal F, K)$$-modules and the Helly theorem in random normed modules. Zbl 1230.46064
Guo, Tiexin; Shi, Guang
2011
Von Neumann’s mean ergodic theorem on complete random inner product modules. Zbl 1235.47015
Zhang, Xia; Guo, Tiexin
2011
Relations between some basic results derived from two kinds of topologies for a random locally convex module. Zbl 1198.46058
Guo, Tiexin
2010
Random strict convexity and random uniform convexity in random normed modules. Zbl 1202.46055
Guo, Tiexin; Zeng, Xiaolin
2010
A basic strict separation theorem in random locally convex modules. Zbl 1184.46068
Guo, Tiexin; Xiao, Haixia; Chen, Xinxiang
2009
Random duality. Zbl 1193.46048
Guo, TieXin; Chen, XinXiang
2009
The relation of Banach–Alaoglu theorem and Banach–Bourbaki–Kakutani–Šmulian theorem in complete random normed modules to stratification structure. Zbl 1167.46049
Guo, Tiexin
2008
Existence of nonzero continuous linear functionals on complete random normed modules. Zbl 1164.46340
Guo, Tiexin; Zeng, Xiaolin
2008
Several applications of the theory of random conjugate spaces to measurability problems. Zbl 1128.46031
Guo, Tie-xin
2007
The James theorem in complete random normed modules. Zbl 1077.46061
Guo, Tiexin; Li, Shaobin
2005
Some reviews on various definitions of a random conjugate space together with various kinds of boundedness of a random linear functional. Zbl 1096.60003
Guo, Tiexin; Ma, Ruiping
2004
A characterization of continuous module homomorphisms on random semi-normed modules and its applications. Zbl 1027.60069
Guo, Tie Xin; Zhu, Lin Hu
2003
The separation theorem in random normed modules. Zbl 1046.46020
Guo, Tiexin; Xiao, Haixia
2003
Survey of recent developments of random metric theory and its applications in China. II. Zbl 0989.54036
Guo, Tiexin
2001
Survey of recent developments of random metric theory and its applications in China. I. Zbl 0989.54035
Guo, Tiexin
2001
A characterization for an $$L(\mu,K)$$-topological module to admit enough canonical module homomorphisms. Zbl 1014.46018
Guo, Tie-Xin; Peng, Sheng-Lan
2001
Representation theorems of the dual of Lebesgue-Bochner function spaces. Zbl 0959.46024
Guo, Tiexin
2000
Some basic theories of random normed linear spaces and random inner product spaces. Zbl 0965.46010
Guo, Tiexin
1999
A note on pointwise best approximation. Zbl 0912.41016
Guo, Tie-Xin; You, Zhao-Yong
1998
A new numerical simulation method of high Reynolds number flow around a cylinder. Zbl 0953.76065
Guo, T.; Chew, Y. T.; Luo, S. C.; Su, M. D.
1998
A characteristics for a random normed module to be random reflexive. Zbl 0902.46053
Guo, Tiexin
1997
Random dual spaces. Zbl 0891.60008
Guo, Tiexin
1997
Radon-Nikodým property of conjugate Banach spaces and $$w^*$$-equivalence theorems of $$w^*-\mu$$-measurable functions. Zbl 0868.46014
Guo, Tiexin
1996
Module homomorphisms on random normed modules. Zbl 0858.60012
Guo, Tiexin
1996
Riesz representation theorems in random inner product modules and its applications. Zbl 0940.60067
Guo, Tiexin; You, Zhaoyong
1996
Extension theorems of continuous random linear operators on random domains. Zbl 0879.47018
Guo, Tiexin
1995
Metrics, probabilistic metrics and random metrics. Zbl 0851.54032
Guo, Tiexin
1995
Pointwise best approximation in the space of strongly measurable functions with applications to best approximation in $$L^ p(\mu,X)$$. Zbl 0808.41024
You, Zhao-Yong; Guo, Tie-Xin
1994
Some formal aspects of subdynamics. Zbl 1434.82069
Grecos, A.; Guo, T.; Guo, W.
1975
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### Cited by 74 Authors

 24 Guo, Tiexin 8 Zhang, Xia 6 Kupper, Michael 6 Zeng, Xiaolin 6 Zhao, Shien 5 Liu, Ming 5 Wu, Mingzhi 4 Jamneshan, Asgar 3 Drapeau, Samuel 3 Şençımen, Celaleddin 3 Wang, YaChao 3 Yang, Yujie 3 Zapata, Jose Miguel 3 Zhang, Erxin 2 Cerreia-Vioglio, Simone 2 Chen, Xinxiang 2 Frittelli, Marco 2 Karliczek, Martin 2 Li, Chong 2 Luo, Xianfa 2 Maccheroni, Fabio 2 Marinacci, Massimo 2 Streckfuß, Martin 2 Xu, Jingshi 2 Yu, Lin 2 Zhao, Yuan 1 Acciaio, Beatrice 1 An, Qiguang 1 Carl, Merlin 1 Cheridito, Patrick 1 Dang Hung Thang 1 Ding, Changying 1 Doldi, Alessandro 1 Eisele, Karl-Theodor 1 Goldammer, Verena 1 Guo, Zichen 1 He, Min 1 Jiao, Fan 1 Li, Shaobin 1 Li, Tiantian 1 Liu, Shuai 1 Long, Long 1 Lučić, Danka 1 Maggis, Marco 1 Mendoza, José 1 Micherda, Bartosz 1 Mohsenipour, Maryam 1 Nguyen Thinh 1 Orihuela, José 1 Pasqualetto, Enrico 1 Pehlivan, Serpil 1 Peng, Sheng-Lan 1 Platen, Eckhard 1 Ren, Yanbo 1 Sadeghi, Ghadir 1 Shi, Guang 1 Svindland, Gregor 1 Ta Cong Son 1 Taieb, Sonia 1 Tang, Yuehan 1 Tappe, Stefan 1 Vogelpoth, Nicolas 1 Wei, Haihua 1 Xiao, Haixia 1 Xu, Hong-Kun 1 Yanbo, Ren 1 Yao, Jen-Chih 1 Yao, Minghua 1 You, Zhaoyong 1 Yu, Xiao 1 Zhang, Chuanzhou 1 Zhang, Li 1 Zhu, Linhu 1 Zhu, Qingfeng
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### Cited in 41 Serials

 16 Journal of Mathematical Analysis and Applications 6 Journal of Inequalities and Applications 6 Acta Mathematica Sinica. English Series 4 Journal of Approximation Theory 4 Science in China. Series A 3 Science China. Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Convex Analysis 2 Journal of Function Spaces and Applications 1 International Journal of General Systems 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Applied Mathematics and Computation 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Statistics & Probability Letters 1 Optimization 1 International Journal of Mathematics 1 Indagationes Mathematicae. New Series 1 Filomat 1 Mathematical Problems in Engineering 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Positivity 1 Decisions in Economics and Finance 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Fixed Point Theory and Applications 1 Proyecciones 1 Frontiers of Mathematics in China 1 Acta Mathematica Sinica. Chinese Series 1 Journal of Mathematical Inequalities 1 SIAM Journal on Financial Mathematics 1 Journal of Logic and Analysis 1 Set-Valued and Variational Analysis 1 Journal of Function Spaces
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### Cited in 21 Fields

 63 Functional analysis (46-XX) 15 Operator theory (47-XX) 15 Probability theory and stochastic processes (60-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Approximations and expansions (41-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 General topology (54-XX) 4 Mathematical logic and foundations (03-XX) 4 Convex and discrete geometry (52-XX) 3 Measure and integration (28-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)