Zheng, Xi Yin Variational analysis based on proximal subdifferential on smooth Banach spaces. (English) Zbl 07806030 Acta Math. Sin., Engl. Ser. 40, No. 2, 595-618 (2024). MSC: 49J52 49N15 90C30 PDFBibTeX XMLCite \textit{X. Y. Zheng}, Acta Math. Sin., Engl. Ser. 40, No. 2, 595--618 (2024; Zbl 07806030) Full Text: DOI
Zheng, Xi Yin Corrigendum to: “Convex optimization problems on differentiable sets”. (English) Zbl 1522.49029 SIAM J. Optim. 33, No. 3, 2484-2488 (2023). MSC: 49K40 90C05 90C25 PDFBibTeX XMLCite \textit{X. Y. Zheng}, SIAM J. Optim. 33, No. 3, 2484--2488 (2023; Zbl 1522.49029) Full Text: DOI
Zheng, Xi Yin Convex optimization problems on differentiable sets. (English) Zbl 1510.49021 SIAM J. Optim. 33, No. 1, 338-359 (2023); corrigendum ibid. 33, No. 3, 2484-2488 (2023). MSC: 49K40 90C05 90C25 PDFBibTeX XMLCite \textit{X. Y. Zheng}, SIAM J. Optim. 33, No. 1, 338--359 (2023; Zbl 1510.49021) Full Text: DOI
Zheng, Xi Yin Slater condition for tangent derivatives. (English) Zbl 1514.90223 Math. Oper. Res. 47, No. 4, 3282-3303 (2022). Reviewer: Karel Zimmermann (Praha) MSC: 90C31 PDFBibTeX XMLCite \textit{X. Y. Zheng}, Math. Oper. Res. 47, No. 4, 3282--3303 (2022; Zbl 1514.90223) Full Text: DOI
Yang, Guangxu; Zheng, Xi Yin Perturbation analysis of global error bounds for piecewise linear conic inequalities. (English) Zbl 1517.90139 J. Nonlinear Var. Anal. 6, No. 6, 661-674 (2022). MSC: 90C29 90C31 49J53 PDFBibTeX XMLCite \textit{G. Yang} and \textit{X. Y. Zheng}, J. Nonlinear Var. Anal. 6, No. 6, 661--674 (2022; Zbl 1517.90139) Full Text: DOI
Zheng, Xi Yin; Zhu, Jiangxing Stable global well-posedness and global strong metric regularity. (English) Zbl 1489.90194 J. Glob. Optim. 83, No. 2, 359-376 (2022). MSC: 90C31 49K40 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{J. Zhu}, J. Glob. Optim. 83, No. 2, 359--376 (2022; Zbl 1489.90194) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Perturbation analysis of metric subregularity for multifunctions. (English) Zbl 1501.90109 SIAM J. Optim. 31, No. 3, 2429-2454 (2021). Reviewer: K. C. Sivakumar (Chennai) MSC: 90C48 90C25 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 31, No. 3, 2429--2454 (2021; Zbl 1501.90109) Full Text: DOI
Zheng, Xi Yin; Yang, Xiaoqi Fully piecewise linear vector optimization problems. (English) Zbl 1475.90098 J. Optim. Theory Appl. 190, No. 2, 461-490 (2021). MSC: 90C29 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{X. Yang}, J. Optim. Theory Appl. 190, No. 2, 461--490 (2021; Zbl 1475.90098) Full Text: DOI arXiv
Zheng, Xiyin Formulas and applications for the normal cone to the solution set of an infinite convex inequality system with a constraint. (Chinese. English summary) Zbl 1513.90134 Sci. Sin., Math. 50, No. 12, 1939-1956 (2020). MSC: 90C25 52A40 52A41 90C34 90C22 PDFBibTeX XMLCite \textit{X. Zheng}, Sci. Sin., Math. 50, No. 12, 1939--1956 (2020; Zbl 1513.90134) Full Text: DOI
Zheng, Xi Yin Well-posed solvability of convex optimization problems on a differentiable or continuous closed convex set. (English) Zbl 1433.49039 SIAM J. Optim. 30, No. 1, 490-512 (2020). MSC: 49K40 90C05 90C25 90C31 PDFBibTeX XMLCite \textit{X. Y. Zheng}, SIAM J. Optim. 30, No. 1, 490--512 (2020; Zbl 1433.49039) Full Text: DOI
Zheng, Xi Yin; Zhu, Jiangxing; Ng, Kung Fu Second order sufficient conditions for stable well-posedness of \(\varphi \)-prox-regular functions. (English) Zbl 1454.90094 Pure Appl. Funct. Anal. 4, No. 1, 137-150 (2019). MSC: 90C31 49K40 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} et al., Pure Appl. Funct. Anal. 4, No. 1, 137--150 (2019; Zbl 1454.90094) Full Text: Link
Zheng, Xi Yin; Ng, Kung-Fu Stability of error bounds for conic subsmooth inequalities. (English) Zbl 1439.49029 ESAIM, Control Optim. Calc. Var. 25, Paper No. 55, 29 p. (2019). Reviewer: Sorin-Mihai Grad (Wien) MSC: 49J52 49J53 90C31 90C25 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K.-F. Ng}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 55, 29 p. (2019; Zbl 1439.49029) Full Text: DOI
Shen, Zongshan; Yao, Jen-Chih; Zheng, Xi Yin Calmness and the Abadie CQ for multifunctions and linear regularity for a collection of closed sets. (English) Zbl 1422.90059 SIAM J. Optim. 29, No. 3, 2291-2319 (2019). MSC: 90C31 90C25 49J52 PDFBibTeX XMLCite \textit{Z. Shen} et al., SIAM J. Optim. 29, No. 3, 2291--2319 (2019; Zbl 1422.90059) Full Text: DOI
Zhang, Binbin; Zheng, Xiyin Well-posedness and generalized metric subregularity with respect to an admissible function. (English) Zbl 1415.90126 Sci. China, Math. 62, No. 4, 809-822 (2019). MSC: 90C31 90C25 49J52 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{X. Zheng}, Sci. China, Math. 62, No. 4, 809--822 (2019; Zbl 1415.90126) Full Text: DOI
Zheng, Xi Yin; Zhu, Jiangxing; Ng, Kung Fu Fully Hölderian stable minimum with respect to both tilt and parameter perturbations. (English) Zbl 1402.90185 SIAM J. Optim. 28, No. 3, 2601-2624 (2018). MSC: 90C31 90C30 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} et al., SIAM J. Optim. 28, No. 3, 2601--2624 (2018; Zbl 1402.90185) Full Text: DOI
Zheng, Xi Yin; Zhu, Jiangxing Stable well-posedness and tilt stability with respect to admissible functions. (English) Zbl 1402.90184 ESAIM, Control Optim. Calc. Var. 23, No. 4, 1397-1418 (2017). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 90C31 49K40 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{J. Zhu}, ESAIM, Control Optim. Calc. Var. 23, No. 4, 1397--1418 (2017; Zbl 1402.90184) Full Text: DOI arXiv
Zheng, Xi Yin; Yang, Zhuowei; Zou, Jiangqian Exact separation theorem for closed sets in Asplund spaces. (English) Zbl 1407.90344 Optimization 66, No. 7, 1065-1077 (2017). MSC: 90C48 PDFBibTeX XMLCite \textit{X. Y. Zheng} et al., Optimization 66, No. 7, 1065--1077 (2017; Zbl 1407.90344) Full Text: DOI
Yao, Jen-Chih; Zheng, Xi Yin; Zhu, Jiangxing Stable minimizers of \(\varphi\)-regular functions. (English) Zbl 1368.90154 SIAM J. Optim. 27, No. 2, 1150-1170 (2017). MSC: 90C31 49K40 49J52 PDFBibTeX XMLCite \textit{J.-C. Yao} et al., SIAM J. Optim. 27, No. 2, 1150--1170 (2017; Zbl 1368.90154) Full Text: DOI
Zheng, Xiyin Metric subregularity for a multifunction. (English) Zbl 1374.49021 J. Math. Study 49, No. 4, 379-392 (2016). MSC: 49J52 49J53 90C25 PDFBibTeX XMLCite \textit{X. Zheng}, J. Math. Study 49, No. 4, 379--392 (2016; Zbl 1374.49021) Full Text: DOI
Zhang, Binbin; Ng, Kung-Fu; Zheng, Xi Yin; He, Qinghai Hölder metric subregularity for multifunctions in \(\mathfrak{C}^2\) type Banach spaces. (English) Zbl 1351.90153 Optimization 65, No. 11, 1963-1982 (2016). MSC: 90C31 90C25 49J52 PDFBibTeX XMLCite \textit{B. Zhang} et al., Optimization 65, No. 11, 1963--1982 (2016; Zbl 1351.90153) Full Text: DOI
Yao, J. C.; Zheng, X. Y. Error bound and well-posedness with respect to an admissible function. (English) Zbl 1338.90401 Appl. Anal. 95, No. 5, 1070-1087 (2016). MSC: 90C31 49K40 49J52 PDFBibTeX XMLCite \textit{J. C. Yao} and \textit{X. Y. Zheng}, Appl. Anal. 95, No. 5, 1070--1087 (2016; Zbl 1338.90401) Full Text: DOI
Zheng, Xi Yin; Zhu, Jiangxing Generalized metric subregularity and regularity with respect to an admissible function. (English) Zbl 1382.90106 SIAM J. Optim. 26, No. 1, 535-563 (2016). MSC: 90C31 49K40 49J52 49J53 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{J. Zhu}, SIAM J. Optim. 26, No. 1, 535--563 (2016; Zbl 1382.90106) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Hölder stable minimizers, tilt stability, and Hölder metric regularity of subdifferentials. (English) Zbl 1378.90079 SIAM J. Optim. 25, No. 1, 416-438 (2015). Reviewer: Stephan Dempe (Freiberg) MSC: 90C31 49K40 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 25, No. 1, 416--438 (2015; Zbl 1378.90079) Full Text: DOI Link
Li, Runxin; Yao, Jen-Chih; Zheng, Xi Yin Approximate KKT points for smooth vector optimization problems in infinite dimensional spaces. (English) Zbl 1336.90089 J. Nonlinear Convex Anal. 16, No. 7, 1385-1396 (2015). Reviewer: I. M. Stancu-Minasian (Bucureşti) MSC: 90C31 90C29 PDFBibTeX XMLCite \textit{R. Li} et al., J. Nonlinear Convex Anal. 16, No. 7, 1385--1396 (2015; Zbl 1336.90089) Full Text: Link
Zheng, Xi Yin; Ng, Kung-Fu Hölder weak sharp minimizers and Hölder tilt-stability. (English) Zbl 1328.90148 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 120, 186-201 (2015). MSC: 90C31 49K40 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K.-F. Ng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 120, 186--201 (2015; Zbl 1328.90148) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Error bound for conic inequality. (English) Zbl 1335.90099 Vietnam J. Math. 42, No. 4, 509-519 (2014). MSC: 90C31 90C25 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, Vietnam J. Math. 42, No. 4, 509--519 (2014; Zbl 1335.90099) Full Text: DOI
Zheng, Xi Yin; Li, Runxin Lagrange multiplier rules for weak approximate Pareto solutions of constrained vector optimization problems in Hilbert spaces. (English) Zbl 1378.90074 J. Optim. Theory Appl. 162, No. 2, 665-679 (2014). MSC: 90C29 90C48 90C59 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{R. Li}, J. Optim. Theory Appl. 162, No. 2, 665--679 (2014; Zbl 1378.90074) Full Text: DOI
Wei, Zhou; Yao, Jen-Chih; Zheng, Xi Yin Strong Abadie CQ, ACQ, calmness and linear regularity. (English) Zbl 1302.90156 Math. Program. 145, No. 1-2 (A), 97-131 (2014). Reviewer: Rembert Reemtsen (Cottbus) MSC: 90C25 90C31 49J53 PDFBibTeX XMLCite \textit{Z. Wei} et al., Math. Program. 145, No. 1--2 (A), 97--131 (2014; Zbl 1302.90156) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Proximal normal cone analysis on smooth Banach spaces and applications. (English) Zbl 1297.49021 SIAM J. Optim. 24, No. 1, 363-384 (2014). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 49J52 90C46 49K27 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 24, No. 1, 363--384 (2014; Zbl 1297.49021) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Metric subregularity of piecewise linear multifunctions and applications to piecewise linear multiobjective optimization. (English) Zbl 1306.90123 SIAM J. Optim. 24, No. 1, 154-174 (2014). Reviewer: Stephan Dempe (Freiberg) MSC: 90C26 90C29 90C31 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 24, No. 1, 154--174 (2014; Zbl 1306.90123) Full Text: DOI Link
Zheng, Xi Yin; He, Qing Hai Characterization of metric regularity for \({\sigma}\)-subsmooth multifunctions. (English) Zbl 1284.49019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 100, 111-121 (2014). MSC: 49J53 49J52 90C29 90C30 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{Q. H. He}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 100, 111--121 (2014; Zbl 1284.49019) Full Text: DOI
Zheng, Xi Yin; Wei, Zhou Convergence of the associated sequence of normal cones of a Mosco convergent sequence of sets. (English) Zbl 1255.49025 SIAM J. Optim. 22, No. 3, 758-771 (2012). MSC: 49J52 58C20 90C29 90C30 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{Z. Wei}, SIAM J. Optim. 22, No. 3, 758--771 (2012; Zbl 1255.49025) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Subsmooth semi-infinite and infinite optimization problems. (English) Zbl 1259.90141 Math. Program. 134, No. 2 (A), 365-393 (2012). Reviewer: Gerhard-Wilhelm Weber, Erik Kropat, Başak Akteke-Öztürk MSC: 90C30 90C34 49J52 65K10 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, Math. Program. 134, No. 2 (A), 365--393 (2012; Zbl 1259.90141) Full Text: DOI
Zheng, Xi Yin; Wei, Zhou Perturbation analysis of error bounds for quasi-subsmooth inequalities and semi-infinite constraint systems. (English) Zbl 1250.49019 SIAM J. Optim. 22, No. 1, 41-65 (2012). MSC: 49J52 49J53 90C31 90C25 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{Z. Wei}, SIAM J. Optim. 22, No. 1, 41--65 (2012; Zbl 1250.49019) Full Text: DOI
Zheng, Xi Yin; Yang, Xiao Qi Conic positive definiteness and sharp minima of fractional orders in vector optimization problems. (English) Zbl 1267.90135 J. Math. Anal. Appl. 391, No. 2, 619-629 (2012). MSC: 90C29 90C48 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{X. Q. Yang}, J. Math. Anal. Appl. 391, No. 2, 619--629 (2012; Zbl 1267.90135) Full Text: DOI
Zheng, Xi Yin; Ng, Kung-Fu Metric subregularity for proximal generalized equations in Hilbert spaces. (English) Zbl 1254.90248 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1686-1699 (2012). MSC: 90C31 90C25 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K.-F. Ng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1686--1699 (2012; Zbl 1254.90248) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu A unified separation theorem for closed sets in a Banach space and optimality conditions for vector optimization. (English) Zbl 1229.49018 SIAM J. Optim. 21, No. 3, 886-911 (2011). MSC: 49J52 90C25 90C29 49K10 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 21, No. 3, 886--911 (2011; Zbl 1229.49018) Full Text: DOI
Zheng, Xi Yin; Ouyang, Wei Metric subregularity for composite-convex generalized equations in Banach spaces. (English) Zbl 1237.90232 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 10, 3311-3323 (2011). MSC: 90C31 90C25 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{W. Ouyang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 10, 3311--3323 (2011; Zbl 1237.90232) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Strong KKT conditions and weak sharp solutions in convex-composite optimization. (English) Zbl 1229.90147 Math. Program. 126, No. 2 (A), 259-279 (2011). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C26 49J52 90C25 90C30 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, Math. Program. 126, No. 2 (A), 259--279 (2011; Zbl 1229.90147) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Metric subregularity and calmness for nonconvex generalized equations in Banach spaces. (English) Zbl 1229.90220 SIAM J. Optim. 20, No. 5, 2119-2136 (2010). Reviewer: I. M. Stancu-Minasian (Bucureşti) MSC: 90C31 90C25 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 20, No. 5, 2119--2136 (2010; Zbl 1229.90220) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Metric subregularity for nonclosed convex multifunctions in normed spaces. (English) Zbl 1213.90238 ESAIM, Control Optim. Calc. Var. 16, No. 3, 601-617 (2010). Reviewer: Dinh The Luc (Avignon) MSC: 90C31 49J52 90C25 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, ESAIM, Control Optim. Calc. Var. 16, No. 3, 601--617 (2010; Zbl 1213.90238) Full Text: DOI EuDML
Zheng, Xiyin; Wei, Zhou; Yao, Jen-Chih Uniform subsmoothness and linear regularity for a collection of infinitely many closed sets. (English) Zbl 1188.90255 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 2, 413-430 (2010). MSC: 90C31 90C46 49J52 49K40 PDFBibTeX XMLCite \textit{X. Zheng} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 2, 413--430 (2010; Zbl 1188.90255) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Metric regularity of composite multifunctions in Banach spaces. (English) Zbl 1223.90064 Taiwanese J. Math. 13, No. 6A, 1723-1735 (2009). MSC: 90C31 90C25 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, Taiwanese J. Math. 13, No. 6A, 1723--1735 (2009; Zbl 1223.90064) Full Text: DOI
Zheng, Xi Yin Pareto solutions of polyhedral-valued vector optimization problems in Banach spaces. (English) Zbl 1177.49033 Set-Valued Var. Anal. 17, No. 4, 389-408 (2009). MSC: 49J53 90C29 90C30 PDFBibTeX XMLCite \textit{X. Y. Zheng}, Set-Valued Var. Anal. 17, No. 4, 389--408 (2009; Zbl 1177.49033) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Calmness for L-subsmooth multifunctions in Banach spaces. (English) Zbl 1188.49019 SIAM J. Optim. 19, No. 4, 1648-1673 (2009). Reviewer: Dinh The Luc (Avignon) MSC: 49J52 90C25 90C31 46B20 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 19, No. 4, 1648--1673 (2009; Zbl 1188.49019) Full Text: DOI Link
Zheng, Xi Yin; Ng, Kung Fu Linear regularity for a collection of subsmooth sets in Banach spaces. (English) Zbl 1190.90231 SIAM J. Optim. 19, No. 1, 62-76 (2008). MSC: 90C31 90C25 49J52 46B20 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 19, No. 1, 62--76 (2008; Zbl 1190.90231) Full Text: DOI
Zheng, Xi Yin; Yang, Xiao Qi Global weak sharp minima for convex (semi-)infinite optimization problems. (English) Zbl 1279.90176 J. Math. Anal. Appl. 348, No. 2, 1021-1028 (2008). MSC: 90C34 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{X. Q. Yang}, J. Math. Anal. Appl. 348, No. 2, 1021--1028 (2008; Zbl 1279.90176) Full Text: DOI
Zheng, Xiyin; Yang, Xiaoqi The structure of weak Pareto solution sets in piecewise linear multiobjective optimization in normed spaces. (English) Zbl 1176.90562 Sci. China, Ser. A 51, No. 7, 1243-1256 (2008). MSC: 90C29 90C48 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{X. Yang}, Sci. China, Ser. A 51, No. 7, 1243--1256 (2008; Zbl 1176.90562) Full Text: DOI
Zheng, Xi Yin; Yang, Xiao Qi Weak sharp minima for piecewise linear multiobjective optimization in normed spaces. (English) Zbl 1191.90064 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 12, 3771-3779 (2008). MSC: 90C29 90C30 90C31 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{X. Q. Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 12, 3771--3779 (2008; Zbl 1191.90064) Full Text: DOI
Yang, X. Q.; Zheng, X. Y. Approximate solutions and optimality conditions of vector variational inequalities in Banach spaces. (English) Zbl 1143.58007 J. Glob. Optim. 40, No. 1-3, 455-462 (2008). Reviewer: Pavol Quittner (Bratislava) MSC: 58E35 58E17 90C46 PDFBibTeX XMLCite \textit{X. Q. Yang} and \textit{X. Y. Zheng}, J. Glob. Optim. 40, No. 1--3, 455--462 (2008; Zbl 1143.58007) Full Text: DOI
Zheng, Xi Yin; Yang, Xiaoqi Lagrange multipliers in nonsmooth semi-infinite optimization problems. (English) Zbl 1278.90411 Math. Oper. Res. 32, No. 1, 168-181 (2007). MSC: 90C34 90C46 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{X. Yang}, Math. Oper. Res. 32, No. 1, 168--181 (2007; Zbl 1278.90411) Full Text: DOI
Zheng, Xi Yin; Yang, Xiao Qi Weak sharp minima for semi-infinite optimization problems with applications. (English) Zbl 1190.90251 SIAM J. Optim. 18, No. 2, 573-588 (2007). MSC: 90C34 90C30 49J52 65K10 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{X. Q. Yang}, SIAM J. Optim. 18, No. 2, 573--588 (2007; Zbl 1190.90251) Full Text: DOI Link
Zheng, Xi Yin; Ng, Kung Fu Metric subregularity and constraint qualifications for convex generalized equations in Banach spaces. (English) Zbl 1190.90230 SIAM J. Optim. 18, No. 2, 437-460 (2007). MSC: 90C31 90C25 49J52 46B20 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 18, No. 2, 437--460 (2007; Zbl 1190.90230) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu The Lagrange multiplier rule for multifunctions in Banach spaces. (English) Zbl 1127.49014 SIAM J. Optim. 17, No. 4, 1154-1175 (2006). MSC: 49J52 90C29 49K27 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 17, No. 4, 1154--1175 (2006; Zbl 1127.49014) Full Text: DOI Link
Zheng, Xi Yin; Ng, Kung Fu The Fermat rule for multifunctions on Banach spaces. (English) Zbl 1099.49020 Math. Program. 104, No. 1 (A), 69-90 (2005). Reviewer: Fabián Flores-Bazan (Concepción) MSC: 49J52 90C29 49J53 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, Math. Program. 104, No. 1 (A), 69--90 (2005; Zbl 1099.49020) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Perturbation analysis of error bounds for systems of conic linear inequalities in Banach spaces. (English) Zbl 1114.90134 SIAM J. Optim. 15, No. 4, 1026-1041 (2005). MSC: 90C31 90C48 49J52 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 15, No. 4, 1026--1041 (2005; Zbl 1114.90134) Full Text: DOI
Zheng, Xiyin; Ng, Kung Fu Hoffman’s least error bounds for systems of linear inequalities. (English) Zbl 1082.90062 J. Glob. Optim. 30, No. 4, 391-403 (2004). MSC: 90C05 90C48 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{K. F. Ng}, J. Glob. Optim. 30, No. 4, 391--403 (2004; Zbl 1082.90062) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Error bound moduli for conic convex systems on Banach spaces. (English) Zbl 1082.90120 Math. Oper. Res. 29, No. 2, 213-228 (2004). MSC: 90C31 49J52 90C25 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, Math. Oper. Res. 29, No. 2, 213--228 (2004; Zbl 1082.90120) Full Text: DOI
Ng, Kung Fu; Zheng, Xi Yin Characterizations of error bounds for convex multifunctions on Banach spaces. (English) Zbl 1082.90114 Math. Oper. Res. 29, No. 1, 45-63 (2004). MSC: 90C31 49J52 90C25 PDFBibTeX XMLCite \textit{K. F. Ng} and \textit{X. Y. Zheng}, Math. Oper. Res. 29, No. 1, 45--63 (2004; Zbl 1082.90114) Full Text: DOI
Zheng, Xi Yin; Ng, Kung Fu Metric regularity and constraint qualifications for convex inequalities on Banach spaces. (English) Zbl 1079.90103 SIAM J. Optim. 14, No. 3, 757-772 (2004). MSC: 90C25 49J52 90C48 90C31 PDFBibTeX XMLCite \textit{X. Y. Zheng} and \textit{K. F. Ng}, SIAM J. Optim. 14, No. 3, 757--772 (2004; Zbl 1079.90103) Full Text: DOI
Zheng, Xiyin Error bounds for set inclusions. (English) Zbl 1124.90350 Sci. China, Ser. A 46, No. 6, 750-763 (2003). MSC: 90C31 46B20 46N10 49J53 PDFBibTeX XMLCite \textit{X. Zheng}, Sci. China, Ser. A 46, No. 6, 750--763 (2003; Zbl 1124.90350)
Zheng, Xiyin Error bounds for convex multifunctions in normed spaces. (English) Zbl 1068.46013 J. Yunnan Univ., Nat. Sci. 25, No. 3, 193-196, 201 (2003). MSC: 46B20 49J53 90C48 PDFBibTeX XMLCite \textit{X. Zheng}, J. Yunnan Univ., Nat. Sci. 25, No. 3, 193--196, 201 (2003; Zbl 1068.46013)
Ng, K. F.; Zheng, X. Y. Error bounds of constrained quadratic functions and piecewise affine inequality systems. (English) Zbl 1061.90110 J. Optimization Theory Appl. 118, No. 3, 601-618 (2003). MSC: 90C31 90C08 PDFBibTeX XMLCite \textit{K. F. Ng} and \textit{X. Y. Zheng}, J. Optim. Theory Appl. 118, No. 3, 601--618 (2003; Zbl 1061.90110) Full Text: DOI EuDML
Ng, K. F.; Zheng, X. Y. On the density of positive proper efficient points in a normed space. (English) Zbl 1094.90044 J. Optimization Theory Appl. 119, No. 1, 105-122 (2003). MSC: 90C29 46B20 46N10 PDFBibTeX XMLCite \textit{K. F. Ng} and \textit{X. Y. Zheng}, J. Optim. Theory Appl. 119, No. 1, 105--122 (2003; Zbl 1094.90044) Full Text: DOI
Ng, Kung Fu; Zheng, Xi Yin Global weak sharp minima on Banach spaces. (English) Zbl 1045.90067 SIAM J. Control Optimization 41, No. 6, 1868-1885 (2003). MSC: 90C31 90C25 49J52 PDFBibTeX XMLCite \textit{K. F. Ng} and \textit{X. Y. Zheng}, SIAM J. Control Optim. 41, No. 6, 1868--1885 (2003; Zbl 1045.90067) Full Text: DOI
Ng, K. F.; Zheng, X. Y. Existence of efficient points in vector optimization and generalized Bishop-Phelps theorem. (English) Zbl 1046.90081 J. Optimization Theory Appl. 115, No. 1, 29-47 (2002). MSC: 90C29 PDFBibTeX XMLCite \textit{K. F. Ng} and \textit{X. Y. Zheng}, J. Optim. Theory Appl. 115, No. 1, 29--47 (2002; Zbl 1046.90081) Full Text: DOI
Ng, Kung Fu; Zheng, Xi Yin Error bounds for lower semicontinuous functions in normed spaces. (English) Zbl 1040.90041 SIAM J. Optim. 12, No. 1, 1-17 (2001). MSC: 90C31 90C25 49J52 PDFBibTeX XMLCite \textit{K. F. Ng} and \textit{X. Y. Zheng}, SIAM J. Optim. 12, No. 1, 1--17 (2001; Zbl 1040.90041) Full Text: DOI
Ng, Kung Fu; Zheng, Xiyin Global error bounds with fractional exponents. (English) Zbl 1016.90060 Math. Program. 88, No. 2 (B), 357-370 (2000). MSC: 90C31 49J52 47N10 90C30 PDFBibTeX XMLCite \textit{K. F. Ng} and \textit{X. Zheng}, Math. Program. 88, No. 2 (B), 357--370 (2000; Zbl 1016.90060) Full Text: DOI
Zheng, X. Y. Contractibility and connectedness of efficient point sets. (English) Zbl 0974.90023 J. Optimization Theory Appl. 104, No. 3, 717-737 (2000). Reviewer: Daniela Marinescu (Braşov) MSC: 90C29 PDFBibTeX XMLCite \textit{X. Y. Zheng}, J. Optim. Theory Appl. 104, No. 3, 717--737 (2000; Zbl 0974.90023) Full Text: DOI
Zheng, Xiyin Series of convex functions on a Banach space. (Chinese. English summary) Zbl 1053.49018 Acta Math. Sin. 41, No. 1, 19-28 (1998). MSC: 49J52 46N10 52A41 90C48 90C46 PDFBibTeX XMLCite \textit{X. Zheng}, Acta Math. Sin. 41, No. 1, 19--28 (1998; Zbl 1053.49018)
Zheng, Xiyin A series of convex functions on a Banach space. (English) Zbl 0903.49012 Acta Math. Sin., New Ser. 14, No. 1, 77-84 (1998). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 49J52 90C25 49J45 26B25 PDFBibTeX XMLCite \textit{X. Zheng}, Acta Math. Sin., New Ser. 14, No. 1, 77--84 (1998; Zbl 0903.49012) Full Text: DOI
Zheng, X. Y. Generalizations of a theorem of Arrow, Barankin, and Blackwell in topological vector spaces. (English) Zbl 0897.90170 J. Optimization Theory Appl. 96, No. 1, 221-233 (1998). MSC: 90C29 PDFBibTeX XMLCite \textit{X. Y. Zheng}, J. Optim. Theory Appl. 96, No. 1, 221--233 (1998; Zbl 0897.90170) Full Text: DOI
Zheng, Xi Yin The domination property for efficiency in locally convex spaces. (English) Zbl 0907.90239 J. Math. Anal. Appl. 213, No. 2, 455-467 (1997). Reviewer: Dinh The Luc (Hanoi) MSC: 90C29 90C48 PDFBibTeX XMLCite \textit{X. Y. Zheng}, J. Math. Anal. Appl. 213, No. 2, 455--467 (1997; Zbl 0907.90239) Full Text: DOI
Zheng, X. Y. Proper efficiency in locally convex topological vector spaces. (English) Zbl 0889.90141 J. Optimization Theory Appl. 94, No. 2, 469-486 (1997). MSC: 90C33 PDFBibTeX XMLCite \textit{X. Y. Zheng}, J. Optim. Theory Appl. 94, No. 2, 469--486 (1997; Zbl 0889.90141) Full Text: DOI