Edit Profile (opens in new tab) Sun, Xiangkai Co-Author Distance Author ID: sun.xiangkai Published as: Sun, Xiang-Kai; Sun, Xiangkai; Sun, X. K. more...less Documents Indexed: 55 Publications since 2010 Co-Authors: 33 Co-Authors with 52 Joint Publications 1,635 Co-Co-Authors all top 5 Co-Authors 3 single-authored 14 Long, Xianjun 12 Li, Shengjie 9 Teo, Kok Lay 9 Zeng, Jing 7 Chai, Yi 7 Peng, Zaiyun 6 Guo, Xiaole 4 Fu, Hongyong 4 Tang, Liping 3 Li, Xiaobing 2 Feng, Xinyi 2 Li, Minghua 2 Mo, Xiaoqing 2 Zhang, Fuchen 2 Zhao, Dan 1 Cheng, Ying 1 Dan, Bin 1 Li, Genghua 1 Lin, Da 1 Lin, Zhi 1 Liu, Huimin 1 Liu, Juan 1 Liu, Liying 1 Tan, Wen 1 Wang, Qilin 1 Wang, Xingyuan 1 Xiao, Min 1 Yao, Shangfeng 1 Zhang, Guangyun 1 Zhang, Huan 1 Zhang, Yu 1 Zhao, Pei 1 Zhu, Shengkun all top 5 Serials 8 Optimization Letters 4 Journal of Optimization Theory and Applications 4 Journal of Nonlinear and Convex Analysis 4 Journal of Jilin University. Science Edition 4 Pacific Journal of Optimization 3 Optimization 3 Journal of Nonlinear Science and Applications 2 Applicable Analysis 2 Numerical Functional Analysis and Optimization 2 Advances in Mathematics (Beijing) 2 Journal of Global Optimization 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Journal of Industrial and Management Optimization 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Positivity 1 Taiwanese Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 RAIRO. Operations Research 1 Journal of the Operations Research Society of China all top 5 Fields 50 Operations research, mathematical programming (90-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 3 General topology (54-XX) 2 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 20 Fields 146 Operations research, mathematical programming (90-XX) 79 Calculus of variations and optimal control; optimization (49-XX) 16 Functional analysis (46-XX) 14 General topology (54-XX) 13 Numerical analysis (65-XX) 11 Operator theory (47-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Real functions (26-XX) 5 Convex and discrete geometry (52-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Partial differential equations (35-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) Citations by Year