## Shi, Shuzhong

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 Author ID: shi.shuzhong Published as: Shi, Shuzhong; Shi, Shu-zhong; Shi, Shu Zhong; Shi, ShuZhong more...less
 Documents Indexed: 35 Publications since 1965 Co-Authors: 13 Co-Authors with 14 Joint Publications 332 Co-Co-Authors
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### Co-Authors

 16 single-authored 3 Wang, Bingwu 3 Zheng, Quan 3 Zhuang, Deming 2 Cheng, Lixin 2 Chou, Chin-Cheng 2 Hinkley, David V. 2 Lee, E. Stanley 2 Li, Yongxin 2 Ng, Kung-Fu 1 Chen, Lixin 1 Graham, Ronald Lewis 1 John, Peter W. M. 1 Li, Xinbao 1 Qin, Chengzhong 1 Tan, Guofu 1 Zhang, Gongqing
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### Serials

 6 Journal of Mathematical Analysis and Applications 3 Acta Mathematica Sinica 2 SIAM Journal on Control and Optimization 2 Acta Mathematicae Applicatae Sinica 2 Advances in Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Acta Mathematica Sinica. New Series 1 Computers and Fluids 1 Biometrika 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 Mathematica Numerica Sinica 1 Mathematics in Practice and Theory 1 Chinese Journal of Operations Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of the Royal Statistical Society. Series B 1 Chinese Science Bulletin 1 Applied Mathematics 1 Economic Theory 1 Journal of Convex Analysis 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 14 Calculus of variations and optimal control; optimization (49-XX) 8 Functional analysis (46-XX) 7 Operations research, mathematical programming (90-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Partial differential equations (35-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 General topology (54-XX) 2 Real functions (26-XX) 2 Statistics (62-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

25 Publications have been cited 166 times in 119 Documents Cited by Year
Ekeland’s variational principle and the mountain pass lemma. Zbl 0605.58017
Shi, Shuzhong
1985
Optimal control of strongly monotone variational inequalities. Zbl 0644.49007
Shi, Shuzhong
1988
Viability theorems for a class of differential-operator inclusions. Zbl 0694.34011
Shi, Shuzhong
1989
Importance sampling and the nested bootstrap. Zbl 0674.62023
Hinkley, D. V.; Shi, S.
1989
A generalization of Ekeland’s $$\varepsilon$$-variational principle and its Borwein-Preiss smooth variant. Zbl 0979.49014
Li, Yongxin; Shi, Shuzhong
2000
Nagumo type condition for partial differential inclusions. Zbl 0654.49016
Shi, Shuzhong
1988
Equivalence between Ekeland’s variational principle and Caristi’s fixed point theorem. Zbl 0621.54030
Shi, Shuzhong
1987
Balanced design of bootstrap simulations. Zbl 0731.62134
Graham, R. L.; Hinkley, D. V.; John, P. W. M.; Shi, S.
1990
Generic Fréchet differentiability of convex functions on non-Asplund spaces. Zbl 0905.46029
Chen, Lixin; Shi, Shuzhong; Lee, E. S.
1997
Discontinuous robust mappings are approximable. Zbl 0860.90129
Shi, Shuzhong; Zheng, Quan; Zhuang, Deming
1995
Théorèmes de viabilité pour les inclusions aux dérivées partielles. (Viability theorems for partial differential inclusions). Zbl 0591.47038
Shi, Shuzhong
1986
Optimality conditions for lower semi-continuous functions. Zbl 0856.90127
Chou, Chin Cheng; Li, Xinbao; Ng, Kung-Fu; Shi, Shuzhong
1996
Set-valued robust mappings and approximable mappings. Zbl 0826.90109
Shi, Shuzhong; Zheng, Quan; Zhuang, Deming
1994
Erratum: Optimal control of strongly monotone variational inequalities. Zbl 0692.49007
Shi, Shuzhong
1990
Choquet theorem and nonsmooth analysis. Zbl 0679.49015
Shi, Shuzhong
1988
Generic Fréchet differentiability of convex functions dominated by a lower semicontinuous convex function. Zbl 0937.46039
Cheng, Lixin; Shi, Shuzhong; Wang, Bingwu; Lee, E. S.
1998
LES of bubble dynamics in wake flows. Zbl 1098.76557
Smirnov, A.; Celik, I.; Shi, S.
2005
Differentiability of convex functions on a Banach space with smooth bump function. Zbl 0823.46042
Li, Yongxin; Shi, Shuzhong
1994
Nash bargaining for log-convex problems. Zbl 1319.91091
Qin, Cheng-Zhong; Shi, Shuzhong; Tan, Guofu
2015
Lipschitz functions on Banach spaces which are actually defined on Asplund spaces. Zbl 0909.46013
Cheng, Lixin; Shi, Shuzhong
1997
Optimal uniform distributions generated by M-sequences. Zbl 0406.10040
Shi, Shu-zhong
1979
Error estimate for quadrature of continuous functions of several variables. Zbl 0474.41011
Shi, Shu-zhong
1981
Geometric conditions of differentiability for a regular locally Lipschitz function. Zbl 0908.49015
Shi, Shuzhong; Wang, Bingwu
1998
Differential inclusions and economic equilibrium. Zbl 0776.90012
Shi, Shuzhong
1986
Efficient subset for portfolio selection without short selling. Zbl 1060.91073
Shi, Shuzhong; Yang, Jie
2003
Nash bargaining for log-convex problems. Zbl 1319.91091
Qin, Cheng-Zhong; Shi, Shuzhong; Tan, Guofu
2015
LES of bubble dynamics in wake flows. Zbl 1098.76557
Smirnov, A.; Celik, I.; Shi, S.
2005
Efficient subset for portfolio selection without short selling. Zbl 1060.91073
Shi, Shuzhong; Yang, Jie
2003
A generalization of Ekeland’s $$\varepsilon$$-variational principle and its Borwein-Preiss smooth variant. Zbl 0979.49014
Li, Yongxin; Shi, Shuzhong
2000
Generic Fréchet differentiability of convex functions dominated by a lower semicontinuous convex function. Zbl 0937.46039
Cheng, Lixin; Shi, Shuzhong; Wang, Bingwu; Lee, E. S.
1998
Geometric conditions of differentiability for a regular locally Lipschitz function. Zbl 0908.49015
Shi, Shuzhong; Wang, Bingwu
1998
Generic Fréchet differentiability of convex functions on non-Asplund spaces. Zbl 0905.46029
Chen, Lixin; Shi, Shuzhong; Lee, E. S.
1997
Lipschitz functions on Banach spaces which are actually defined on Asplund spaces. Zbl 0909.46013
Cheng, Lixin; Shi, Shuzhong
1997
Optimality conditions for lower semi-continuous functions. Zbl 0856.90127
Chou, Chin Cheng; Li, Xinbao; Ng, Kung-Fu; Shi, Shuzhong
1996
Discontinuous robust mappings are approximable. Zbl 0860.90129
Shi, Shuzhong; Zheng, Quan; Zhuang, Deming
1995
Set-valued robust mappings and approximable mappings. Zbl 0826.90109
Shi, Shuzhong; Zheng, Quan; Zhuang, Deming
1994
Differentiability of convex functions on a Banach space with smooth bump function. Zbl 0823.46042
Li, Yongxin; Shi, Shuzhong
1994
Balanced design of bootstrap simulations. Zbl 0731.62134
Graham, R. L.; Hinkley, D. V.; John, P. W. M.; Shi, S.
1990
Erratum: Optimal control of strongly monotone variational inequalities. Zbl 0692.49007
Shi, Shuzhong
1990
Viability theorems for a class of differential-operator inclusions. Zbl 0694.34011
Shi, Shuzhong
1989
Importance sampling and the nested bootstrap. Zbl 0674.62023
Hinkley, D. V.; Shi, S.
1989
Optimal control of strongly monotone variational inequalities. Zbl 0644.49007
Shi, Shuzhong
1988
Nagumo type condition for partial differential inclusions. Zbl 0654.49016
Shi, Shuzhong
1988
Choquet theorem and nonsmooth analysis. Zbl 0679.49015
Shi, Shuzhong
1988
Equivalence between Ekeland’s variational principle and Caristi’s fixed point theorem. Zbl 0621.54030
Shi, Shuzhong
1987
Théorèmes de viabilité pour les inclusions aux dérivées partielles. (Viability theorems for partial differential inclusions). Zbl 0591.47038
Shi, Shuzhong
1986
Differential inclusions and economic equilibrium. Zbl 0776.90012
Shi, Shuzhong
1986
Ekeland’s variational principle and the mountain pass lemma. Zbl 0605.58017
Shi, Shuzhong
1985
Error estimate for quadrature of continuous functions of several variables. Zbl 0474.41011
Shi, Shu-zhong
1981
Optimal uniform distributions generated by M-sequences. Zbl 0406.10040
Shi, Shu-zhong
1979
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### Cited by 141 Authors

 8 Zheng, Quan 6 Cheng, Lixin 5 Cârjă, Ovidiu 5 Chang, Shih-Sen 4 Aubin, Jean-Pierre 4 Hung, Nguyen Van 4 Lin, Hueili 4 Shi, Shuzhong 4 Tintarev, Kyril 4 Vrabie, Ioan I. 4 Yao, Yirong 3 Borwein, Jonathan Michael 3 Dietrich, Helmut 3 Hsu, TsingSan 3 Lorenz, Thomas 3 Necula, Mihai 3 Penot, Jean-Paul 3 Schechter, Martin 3 Wang, Bingwu 3 Zhuang, Deming 2 Al-Homidan, Suliman S. 2 Ansari, Qamrul Hasan 2 Azroul, Elhoussine 2 Benkirane, Abdelmoujib 2 Chadli, Ouayl 2 Chen, Liu 2 Frankowska, Hélène 2 Haddad, Georges 2 Kassara, Khalid 2 Keller, André A. 2 Kruger, Alexander Y. 2 Liu, Steve Wenbin 2 Long, Pujun 2 Lovíšek, Ján 2 Luo, Qun 2 Ng, Kung-Fu 2 Outrata, Jiří V. 2 Plubtieng, Somyot 2 Rubio, Julio E. 2 Seangwattana, Thidaporn 2 Shang, Shaoqiang 2 Shimi, Mohammed 2 Yang, Xinmin 2 Zheng, Xiyin 2 Zhu, Qiji Jim 1 Arutyunov, Aram Vladimirovic 1 Aslantaş, Mustafa 1 Bao, Lingxin 1 Ben-El-Mechaiekh, Hichem 1 Bessis, D. N. 1 Bolte, Jérôme 1 Cannarsa, Piermarco 1 Chen, Cui 1 Chen, Lizhen 1 Chen, Shaoxiong 1 Chen, Yuqing 1 Chen, Zhimin 1 Cheng, Wei 1 Cho, Yeol Je 1 Chou, Chin-Cheng 1 Clarke, Francis H. 1 Cui, Yunan 1 Ćwiszewski, Aleksander 1 Da Prato, Giuseppe 1 Eftekharinasab, Kaveh 1 Fan, Xianling 1 Frigon, Marlène 1 Gabor, Grzegorz 1 Geletu, Abebe 1 Guan, Chunxia 1 Guo, Jinli 1 Han, Boshun 1 Han, Zhenlai 1 Haslinger, Jaroslav 1 Herings, P. Jean-Jacques 1 Hoffmann, Armin 1 Hussain, Nawab 1 Iqbal, Iram 1 Jarušek, Jiří 1 Jin, Nana 1 Kawai, Shigeo 1 Khan, Akhtar Ali 1 Khoshkhabar-Amiranloo, S. 1 Kim, Jong Kyu 1 Kocan, Maciej 1 Kokurin, Mikhail Yur’evich 1 Kostreva, Michael M. 1 Kryszewski, Wojciech 1 Lai, Min 1 Lee, E. Stanley 1 Lewis, Adrian S. 1 Li, Shujie 1 Liu, Xiaoyan 1 Mascarenhas, Walter F. 1 Mawhin, Jean L. 1 Melguizo Padial, M. A. 1 Miettinen, Markku 1 Monteiro Marques, Manuel D. P. 1 Moors, Warren B. 1 Mordukhovich, Boris S. ...and 41 more Authors
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### Cited in 57 Serials

 18 Journal of Mathematical Analysis and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Applied Mathematics and Mechanics. (English Edition) 6 Nonlinear Analysis. Theory, Methods & Applications 5 Transactions of the American Mathematical Society 4 Applied Mathematics and Optimization 4 Journal of Differential Equations 4 Optimization 3 Journal of Computational and Applied Mathematics 3 Set-Valued Analysis 3 Positivity 3 Optimization Letters 2 Computers & Mathematics with Applications 2 Journal of Approximation Theory 2 Journal of Optimization Theory and Applications 2 Journal of Global Optimization 2 European Journal of Operational Research 2 SIAM Journal on Optimization 2 Acta Mathematica Sinica. English Series 1 Applicable Analysis 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Periodica Mathematica Hungarica 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Mathematics of Operations Research 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Systems & Control Letters 1 Operations Research Letters 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Science in China. Series A 1 Annals of Operations Research 1 Applications of Mathematics 1 Acta Mathematica Sinica. New Series 1 International Journal of Robust and Nonlinear Control 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Economic Theory 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Convex Analysis 1 Abstract and Applied Analysis 1 Nonlinear Analysis. Modelling and Control 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics and Computing 1 Boundary Value Problems 1 Journal of Fixed Point Theory and Applications 1 Science China. Mathematics 1 Arabian Journal of Mathematics 1 Journal of Function Spaces 1 Advances in Operator Theory 1 SN Operations Research Forum
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### Cited in 25 Fields

 61 Calculus of variations and optimal control; optimization (49-XX) 28 Operator theory (47-XX) 25 Operations research, mathematical programming (90-XX) 21 Partial differential equations (35-XX) 17 Ordinary differential equations (34-XX) 17 Functional analysis (46-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 General topology (54-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Numerical analysis (65-XX) 5 Systems theory; control (93-XX) 4 Mechanics of deformable solids (74-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX)