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Author ID: sun.xiangkai Recent zbMATH articles by "Sun, Xiangkai"
Published as: Sun, Xiang-Kai; Sun, Xiangkai; Sun, X. K.
Documents Indexed: 55 Publications since 2010
Co-Authors: 33 Co-Authors with 52 Joint Publications
1,635 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 316 times in 174 Documents Cited by Year
Lower Studniarski derivative of the perturbation map in parametrized vector optimization. Zbl 1254.90220
Sun, X. K.; Li, S. J.
27
2011
Dual approaches to characterize robust optimal solution sets for a class of uncertain optimization problems. Zbl 1422.49028
Sun, Xiangkai; Teo, Kok Lay; Tang, Liping
24
2019
Duality and Farkas-type results for DC infinite programming with inequality constraints. Zbl 1276.49028
Sun, Xiang-Kai; Li, Sheng-Jie; Zhao, Dan
21
2013
Some characterizations of robust optimal solutions for uncertain convex optimization problems. Zbl 1379.90045
Sun, Xiang-Kai; Peng, Zai-Yun; Guo, Xiao-Le
20
2016
On robust duality for fractional programming with uncertainty data. Zbl 1297.49061
Sun, Xiang-Kai; Chai, Yi
18
2014
Gap functions and error bounds for generalized vector variational inequalities. Zbl 1304.49024
Sun, Xiang-Kai; Chai, Yi
18
2014
Regularity conditions characterizing Fenchel-Lagrange duality and Farkas-type results in DC infinite programming. Zbl 1312.49047
Sun, Xiang-Kai
16
2014
Some characterizations of robust optimal solutions for uncertain fractional optimization and applications. Zbl 1364.90308
Sun, Xiang-Kai; Long, Xian-Jun; Fu, Hong-Yong; Li, Xiao-Bing
13
2017
Robust approximate optimal solutions for nonlinear semi-infinite programming with uncertainty. Zbl 1451.90164
Sun, Xiangkai; Teo, Kok Lay; Zeng, Jing; Liu, Liying
13
2020
On approximate solutions and saddle point theorems for robust convex optimization. Zbl 1469.90100
Sun, Xiang-Kai; Teo, Kok Lay; Zeng, Jing; Guo, Xiao-Le
12
2020
Some characterizations of approximate solutions for robust semi-infinite optimization problems. Zbl 1480.90186
Sun, Xiangkai; Teo, Kok Lay; Long, Xian-Jun
10
2021
On robust approximate optimal solutions for uncertain convex optimization and applications to multi-objective optimization. Zbl 1474.90345
Sun, Xiang-Kai; Li, Xiao-Bing; Long, Xian-Jun; Peng, Zai-Yun
9
2017
Second-order contingent derivatives of set-valued mappings with application to set-valued optimization. Zbl 1268.90096
Li, S. J.; Sun, X. K.; Zhai, J.
8
2012
Sequential optimality conditions for fractional optimization with applications to vector optimization. Zbl 1307.90166
Sun, Xiang-Kai; Long, Xian-Jun; Chai, Yi
8
2015
Duality and Farkas-type results for extended Ky Fan inequalities with DC functions. Zbl 1287.90069
Sun, X. K.; Li, S. J.
8
2013
Generalized second-order contingent epiderivatives in parametric vector optimization problems. Zbl 1297.49027
Sun, Xiang-Kai; Li, Sheng-Jie
7
2014
Stability analysis for higher-order adjacent derivative in parametrized vector optimization. Zbl 1200.49029
Sun, X. K.; Li, S. J.
7
2010
Characterizations of robust \(\varepsilon\)-quasi optimal solutions for nonsmooth optimization problems with uncertain data. Zbl 1517.90095
Sun, Xiang-Kai; Teo, Kok Lay; Long, Xian-Jun
7
2021
Some characterizations of duality for DC optimization with composite functions. Zbl 1434.90157
Sun, Xiangkai; Long, Xian-Jun; Li, Minghua
7
2017
Constraint qualifications characterizing Fenchel duality in composed convex optimization. Zbl 1356.49066
Sun, Xiang-Kai; Long, Xian-Jun; Zeng, Jing
6
2016
Approximate optimality conditions for composite convex optimization problems. Zbl 1386.90106
Long, Xian-Jun; Sun, Xiang-Kai; Peng, Zai-Yun
6
2017
Fenchel-Lagrange duality for DC programs with composite functions. Zbl 1327.90223
Sun, Xiang-Kai; Guo, Xiao-Le; Zhang, Yu
5
2015
Characterizations of approximate duality and saddle point theorems for nonsmooth robust vector optimization. Zbl 1434.90114
Sun, Xiangkai; Tang, Liping; Zeng, Jing
5
2020
Joint optimal pricing and ordering decisions for seasonal products with weather-sensitive demand. Zbl 1419.90006
Fu, Hongyong; Dan, Bin; Sun, Xiangkai
5
2014
Weak lower Studniarski derivative in set-valued optimization. Zbl 1248.46048
Sun, X. K.; Li, S. J.
4
2012
Duality and gap function for generalized multivalued \(\varepsilon\)-vector variational inequality. Zbl 1285.47076
Sun, X. K.; Li, S. J.
4
2013
Conjugate duality in constrained set-valued vector optimization problems. Zbl 1242.90286
Li, S. J.; Sun, X. K.; Liu, H. M.; Yao, S. F.; Teo, K. L.
3
2011
Higher-order optimality conditions for strict minimality in set-valued otimization. Zbl 1247.90284
Li, S. J.; Sun, X. K.; Zhu, S. K.
3
2012
Necessary optimality conditions for DC infinite programs with inequality constraints. Zbl 1328.49022
Sun, Xiang-Kai; Guo, Xiao-Le; Zeng, Jing
3
2016
Farkas-type results for constrained fractional programming with DC functions. Zbl 1333.90131
Sun, Xiang-Kai; Chai, Yi; Zeng, Jing
3
2014
Existence of solutions and Hadamard well-posedness for generalized strong vector quasi-equilibrium problems. Zbl 1344.49013
Zeng, Jing; Peng, Zai-Yun; Sun, Xiang-Kai; Long, Xian-Jun
2
2016
Generic stability of the solution mapping for semi-infinite vector optimization problems in Banach spaces. Zbl 1474.90411
Long, Xian-Jun; Peng, Zai-Yun; Sun, Xiang-Kai; Li, Xiao-Bing
2
2017
A note on optimality conditions for DC programs involving composite functions. Zbl 1469.90155
Sun, Xiang-Kai; Fu, Hong-Yong
2
2014
Characterizing robust optimal solution sets for nonconvex uncertain semi-infinite programming problems involving tangential subdifferentials. Zbl 07762766
Liu, Juan; Long, Xian-Jun; Sun, Xiang-Kai
2
2023
Robust optimality, duality and saddle points for multiobjective fractional semi-infinite optimization with uncertain data. Zbl 1493.90121
Sun, Xiangkai; Feng, Xinyi; Teo, Kok Lay
2
2022
Some dual characterizations of Farkas-type results for fractional programming problems. Zbl 1396.90084
Sun, Xiangkai; Tang, Liping; Long, Xian-Jun; Li, Minghua
2
2018
Characterizations of robust solution for convex optimization problems with data uncertainty. Zbl 1389.90258
Sun, Xiangkai
1
2017
On the new results of global exponential attractive sets of the T chaotic system. Zbl 1300.34030
Zhang, Fuchen; Wang, Xingyuan; Xiao, Min; Sun, Xiangkai
1
2014
New estimate the bounds for the generalized Lorenz system. Zbl 1371.37066
Zhang, Fuchen; Zhang, Guangyun; Lin, Da; Sun, Xiangkai
1
2015
Gap functions for generalized vector equilibrium problems via conjugate duality and applications. Zbl 1297.90175
Sun, Xiang-Kai; Li, Sheng-Jie
1
2013
Characterizing robust optimal solution sets for nonconvex uncertain semi-infinite programming problems involving tangential subdifferentials. Zbl 07762766
Liu, Juan; Long, Xian-Jun; Sun, Xiang-Kai
2
2023
Robust optimality, duality and saddle points for multiobjective fractional semi-infinite optimization with uncertain data. Zbl 1493.90121
Sun, Xiangkai; Feng, Xinyi; Teo, Kok Lay
2
2022
Some characterizations of approximate solutions for robust semi-infinite optimization problems. Zbl 1480.90186
Sun, Xiangkai; Teo, Kok Lay; Long, Xian-Jun
10
2021
Characterizations of robust \(\varepsilon\)-quasi optimal solutions for nonsmooth optimization problems with uncertain data. Zbl 1517.90095
Sun, Xiang-Kai; Teo, Kok Lay; Long, Xian-Jun
7
2021
Robust approximate optimal solutions for nonlinear semi-infinite programming with uncertainty. Zbl 1451.90164
Sun, Xiangkai; Teo, Kok Lay; Zeng, Jing; Liu, Liying
13
2020
On approximate solutions and saddle point theorems for robust convex optimization. Zbl 1469.90100
Sun, Xiang-Kai; Teo, Kok Lay; Zeng, Jing; Guo, Xiao-Le
12
2020
Characterizations of approximate duality and saddle point theorems for nonsmooth robust vector optimization. Zbl 1434.90114
Sun, Xiangkai; Tang, Liping; Zeng, Jing
5
2020
Dual approaches to characterize robust optimal solution sets for a class of uncertain optimization problems. Zbl 1422.49028
Sun, Xiangkai; Teo, Kok Lay; Tang, Liping
24
2019
Some dual characterizations of Farkas-type results for fractional programming problems. Zbl 1396.90084
Sun, Xiangkai; Tang, Liping; Long, Xian-Jun; Li, Minghua
2
2018
Some characterizations of robust optimal solutions for uncertain fractional optimization and applications. Zbl 1364.90308
Sun, Xiang-Kai; Long, Xian-Jun; Fu, Hong-Yong; Li, Xiao-Bing
13
2017
On robust approximate optimal solutions for uncertain convex optimization and applications to multi-objective optimization. Zbl 1474.90345
Sun, Xiang-Kai; Li, Xiao-Bing; Long, Xian-Jun; Peng, Zai-Yun
9
2017
Some characterizations of duality for DC optimization with composite functions. Zbl 1434.90157
Sun, Xiangkai; Long, Xian-Jun; Li, Minghua
7
2017
Approximate optimality conditions for composite convex optimization problems. Zbl 1386.90106
Long, Xian-Jun; Sun, Xiang-Kai; Peng, Zai-Yun
6
2017
Generic stability of the solution mapping for semi-infinite vector optimization problems in Banach spaces. Zbl 1474.90411
Long, Xian-Jun; Peng, Zai-Yun; Sun, Xiang-Kai; Li, Xiao-Bing
2
2017
Characterizations of robust solution for convex optimization problems with data uncertainty. Zbl 1389.90258
Sun, Xiangkai
1
2017
Some characterizations of robust optimal solutions for uncertain convex optimization problems. Zbl 1379.90045
Sun, Xiang-Kai; Peng, Zai-Yun; Guo, Xiao-Le
20
2016
Constraint qualifications characterizing Fenchel duality in composed convex optimization. Zbl 1356.49066
Sun, Xiang-Kai; Long, Xian-Jun; Zeng, Jing
6
2016
Necessary optimality conditions for DC infinite programs with inequality constraints. Zbl 1328.49022
Sun, Xiang-Kai; Guo, Xiao-Le; Zeng, Jing
3
2016
Existence of solutions and Hadamard well-posedness for generalized strong vector quasi-equilibrium problems. Zbl 1344.49013
Zeng, Jing; Peng, Zai-Yun; Sun, Xiang-Kai; Long, Xian-Jun
2
2016
Sequential optimality conditions for fractional optimization with applications to vector optimization. Zbl 1307.90166
Sun, Xiang-Kai; Long, Xian-Jun; Chai, Yi
8
2015
Fenchel-Lagrange duality for DC programs with composite functions. Zbl 1327.90223
Sun, Xiang-Kai; Guo, Xiao-Le; Zhang, Yu
5
2015
New estimate the bounds for the generalized Lorenz system. Zbl 1371.37066
Zhang, Fuchen; Zhang, Guangyun; Lin, Da; Sun, Xiangkai
1
2015
On robust duality for fractional programming with uncertainty data. Zbl 1297.49061
Sun, Xiang-Kai; Chai, Yi
18
2014
Gap functions and error bounds for generalized vector variational inequalities. Zbl 1304.49024
Sun, Xiang-Kai; Chai, Yi
18
2014
Regularity conditions characterizing Fenchel-Lagrange duality and Farkas-type results in DC infinite programming. Zbl 1312.49047
Sun, Xiang-Kai
16
2014
Generalized second-order contingent epiderivatives in parametric vector optimization problems. Zbl 1297.49027
Sun, Xiang-Kai; Li, Sheng-Jie
7
2014
Joint optimal pricing and ordering decisions for seasonal products with weather-sensitive demand. Zbl 1419.90006
Fu, Hongyong; Dan, Bin; Sun, Xiangkai
5
2014
Farkas-type results for constrained fractional programming with DC functions. Zbl 1333.90131
Sun, Xiang-Kai; Chai, Yi; Zeng, Jing
3
2014
A note on optimality conditions for DC programs involving composite functions. Zbl 1469.90155
Sun, Xiang-Kai; Fu, Hong-Yong
2
2014
On the new results of global exponential attractive sets of the T chaotic system. Zbl 1300.34030
Zhang, Fuchen; Wang, Xingyuan; Xiao, Min; Sun, Xiangkai
1
2014
Duality and Farkas-type results for DC infinite programming with inequality constraints. Zbl 1276.49028
Sun, Xiang-Kai; Li, Sheng-Jie; Zhao, Dan
21
2013
Duality and Farkas-type results for extended Ky Fan inequalities with DC functions. Zbl 1287.90069
Sun, X. K.; Li, S. J.
8
2013
Duality and gap function for generalized multivalued \(\varepsilon\)-vector variational inequality. Zbl 1285.47076
Sun, X. K.; Li, S. J.
4
2013
Gap functions for generalized vector equilibrium problems via conjugate duality and applications. Zbl 1297.90175
Sun, Xiang-Kai; Li, Sheng-Jie
1
2013
Second-order contingent derivatives of set-valued mappings with application to set-valued optimization. Zbl 1268.90096
Li, S. J.; Sun, X. K.; Zhai, J.
8
2012
Weak lower Studniarski derivative in set-valued optimization. Zbl 1248.46048
Sun, X. K.; Li, S. J.
4
2012
Higher-order optimality conditions for strict minimality in set-valued otimization. Zbl 1247.90284
Li, S. J.; Sun, X. K.; Zhu, S. K.
3
2012
Lower Studniarski derivative of the perturbation map in parametrized vector optimization. Zbl 1254.90220
Sun, X. K.; Li, S. J.
27
2011
Conjugate duality in constrained set-valued vector optimization problems. Zbl 1242.90286
Li, S. J.; Sun, X. K.; Liu, H. M.; Yao, S. F.; Teo, K. L.
3
2011
Stability analysis for higher-order adjacent derivative in parametrized vector optimization. Zbl 1200.49029
Sun, X. K.; Li, S. J.
7
2010
all top 5

Cited by 225 Authors

21 Sun, Xiangkai
12 Li, Shengjie
11 Anh, Nguyen Le Hoang
10 Long, Xianjun
8 Fang, Donghui
7 Teo, Kok Lay
6 Chen, Jiawei
6 Li, Xiaobing
6 Pham, Thanh Hung
6 Tung, Le Thanh
6 Wang, Qilin
5 Chen, Chunrong
5 Fu, Hongyong
5 Jayswal, Anurag
5 Wangkeeree, Rabian
5 Wei, Hongzhi
5 Yu, Guolin
5 Zeng, Jing
4 Hung, Nguyen Van
4 Li, Genghua
4 Peng, Zaiyun
4 Tam, Vo Minh
4 Yao, Jen-Chih
3 Al-Homidan, Suliman S.
3 Ansari, Qamrul Hasan
3 Fajardo, María D.
3 Goberna, Miguel Angel
3 Gong, Tiantian
3 Kerdkaew, Jutamas
3 Li, Minghua
3 Liu, Juan
3 López-Cerdá, Marco Antonio
3 Nguyen Le Hoang Anh
3 O’Regan, Donal
3 Peng, Zhenhua
3 Qin, Zhenhua
3 Singh, Shipra
3 Tang, Liping
3 Treanţă, Savin
3 Wan, Zhongping
3 Xu, Yinghong
2 Arana-Jiménez, Manuel
2 Chai, Yi
2 Chang, Shih-Sen
2 Chen, Zhe
2 Dali, Issam
2 Giang, Nguyen Manh Truong
2 Guo, Xiaole
2 Han, Wenyan
2 Huang, La
2 Huang, Nan-Jing
2 Laghdir, Mohamed
2 Lee, Gue Myung
2 Li, Jun
2 Lv, Yibing
2 Maurya, J. K.
2 Mishra, Shashi Kant
2 Moustaid, Mohamed Bilal
2 Nguyen Van Hung
2 Phan Quôc Khánh
2 Preeti, Anurag Jayswal
2 Salahuddin
2 Sisarat, Nithirat
2 Studniarski, Marcin
2 Tang, Tian
2 Vo Minh Tam
2 Volle, Michel
2 Zhai, Yuwen
2 Zhang, Yong
1 Abad, Fatemeh Salary Pour Shari
1 Ahmad, Izhar
1 Allahdadi, Mehdi
1 Anh, Lam Quoc
1 Arya, Rubi
1 Bae, Kwan Deok
1 Bao, Nguyen Xuan Duy
1 Bednarczuk, Ewa M.
1 Bhati, Deepak
1 Bisht, Jaya
1 Bozorgnia, Farid
1 Cao, Bingbing
1 Chai, Yanfei
1 Chen, Xia
1 Chen, Zhangyou
1 Choudhury, Sarita
1 Chuasuk, Preeyanuch
1 Dan, Bin
1 Davison, Matthew
1 Diem, Huynh Thi Hong
1 Dinh The Luc
1 Doagooei, Ali Reza
1 Dong, Wen
1 Fan, Zhiping
1 Fang, Yaping
1 Feng, Min
1 Feng, Xinyi
1 Fung, Richard Ying Kit
1 Gadhi, Nazih Abderrazzak
1 Gibali, Aviv
1 Glyzin, Sergeĭ Dmitrievich
...and 125 more Authors
all top 5

Cited in 52 Serials

17 Journal of Optimization Theory and Applications
15 Journal of Industrial and Management Optimization
14 Positivity
14 Optimization Letters
12 Optimization
10 Journal of Inequalities and Applications
7 Numerical Functional Analysis and Optimization
6 Journal of Global Optimization
5 Set-Valued and Variational Analysis
4 Applicable Analysis
4 Journal of Mathematical Analysis and Applications
4 Japan Journal of Industrial and Applied Mathematics
4 Computational and Applied Mathematics
3 Journal of Computational and Applied Mathematics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Fixed Point Theory and Applications
3 Journal of the Operations Research Society of China
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Asia-Pacific Journal of Operational Research
2 Mathematical Problems in Engineering
2 Discrete Dynamics in Nature and Society
2 Thai Journal of Mathematics
2 Computational Management Science
2 S\(\vec{\text{e}}\)MA Journal
2 AIMS Mathematics
2 Journal of Nonlinear and Variational Analysis
1 International Journal of Control
1 Applied Mathematics and Computation
1 Fuzzy Sets and Systems
1 Optimal Control Applications & Methods
1 Acta Mathematicae Applicatae Sinica. English Series
1 Annals of Operations Research
1 Applied Mathematical Modelling
1 European Journal of Operational Research
1 International Journal of Robust and Nonlinear Control
1 SIAM Journal on Optimization
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Turkish Journal of Mathematics
1 Filomat
1 Top
1 Complexity
1 Abstract and Applied Analysis
1 RAIRO. Operations Research
1 Qualitative Theory of Dynamical Systems
1 Journal of Applied Mathematics
1 OR Spectrum
1 Proceedings of the Steklov Institute of Mathematics
1 Numerical Algebra, Control and Optimization
1 Iranian Journal of Mathematical Sciences and Informatics
1 Journal of Function Spaces
1 International Journal of Applied and Computational Mathematics
1 Open Mathematics

Citations by Year