Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Point-Based Neighborhoods for Sharp Calmness Constants in Linear Programming

M. J. Cánovas, J. Parra, J.-J. Rückmann and F. J. Toledo
Set-Valued and Variational Analysis 25 (4) 757 (2017)
DOI: 10.1007/s11228-017-0427-6
See this article

Error bounds and metric subregularity

Alexander Y. Kruger
Optimization 64 (1) 49 (2015)
DOI: 10.1080/02331934.2014.938074
See this article

Computational and Analytical Mathematics

A. D. Ioffe
Springer Proceedings in Mathematics & Statistics, Computational and Analytical Mathematics 50 411 (2013)
DOI: 10.1007/978-1-4614-7621-4_19
See this article

Post-Optimal Analysis in Linear Semi-Infinite Optimization

Miguel A. Goberna and Marco A. López
SpringerBriefs in Optimization, Post-Optimal Analysis in Linear Semi-Infinite Optimization 23 (2014)
DOI: 10.1007/978-1-4899-8044-1_2
See this article

Post-Optimal Analysis in Linear Semi-Infinite Optimization

Miguel A. Goberna and Marco A. López
SpringerBriefs in Optimization, Post-Optimal Analysis in Linear Semi-Infinite Optimization 51 (2014)
DOI: 10.1007/978-1-4899-8044-1_4
See this article

Post-Optimal Analysis in Linear Semi-Infinite Optimization

Miguel A. Goberna and Marco A. López
SpringerBriefs in Optimization, Post-Optimal Analysis in Linear Semi-Infinite Optimization 61 (2014)
DOI: 10.1007/978-1-4899-8044-1_5
See this article

Post-Optimal Analysis in Linear Semi-Infinite Optimization

Miguel A. Goberna and Marco A. López
SpringerBriefs in Optimization, Post-Optimal Analysis in Linear Semi-Infinite Optimization 79 (2014)
DOI: 10.1007/978-1-4899-8044-1_6
See this article

Post-Optimal Analysis in Linear Semi-Infinite Optimization

Miguel A. Goberna and Marco A. López
SpringerBriefs in Optimization, Post-Optimal Analysis in Linear Semi-Infinite Optimization 1 (2014)
DOI: 10.1007/978-1-4899-8044-1_1
See this article

Post-Optimal Analysis in Linear Semi-Infinite Optimization

Miguel A. Goberna and Marco A. López
SpringerBriefs in Optimization, Post-Optimal Analysis in Linear Semi-Infinite Optimization 39 (2014)
DOI: 10.1007/978-1-4899-8044-1_3
See this article

Inverse Problems and Related Topics

Daniel Gerth and Stefan Kindermann
Springer Proceedings in Mathematics & Statistics, Inverse Problems and Related Topics 310 257 (2020)
DOI: 10.1007/978-981-15-1592-7_12
See this article

Infinitesimal calculus in metric spaces

Jean-Paul Penot
Journal of Geometry and Physics 57 (12) 2455 (2007)
DOI: 10.1016/j.geomphys.2007.08.004
See this article

Calmness Modulus of Linear Semi-infinite Programs

M. J. Cánovas, A. Y. Kruger, M. A. López, J. Parra and M. A. Théra
SIAM Journal on Optimization 24 (1) 29 (2014)
DOI: 10.1137/130907008
See this article

Outer limits of subdifferentials for min–max type functions

Andrew Eberhard, Vera Roshchina and Tian Sang
Optimization 68 (7) 1391 (2019)
DOI: 10.1080/02331934.2017.1398750
See this article

Calmness of partially perturbed linear systems with an application to the central path

M. J. Cánovas, J. A. J. Hall, M. A. López and J. Parra
Optimization 68 (2-3) 465 (2019)
DOI: 10.1080/02331934.2018.1523403
See this article

Approximations and solution estimates in optimization

Johannes O. Royset
Mathematical Programming 170 (2) 479 (2018)
DOI: 10.1007/s10107-017-1165-0
See this article

Global Error Bounds for Systems of Convex Polynomials over Polyhedral Constraints

Huynh Van Ngai
SIAM Journal on Optimization 25 (1) 521 (2015)
DOI: 10.1137/13090599X
See this article

Metric subregularity for composite-convex generalized equations in Banach spaces

Xi Yin Zheng and Wei Ouyang
Nonlinear Analysis: Theory, Methods & Applications 74 (10) 3311 (2011)
DOI: 10.1016/j.na.2011.02.008
See this article

Error bounds for vector-valued functions: Necessary and sufficient conditions

Ewa M. Bednarczuk and Alexander Y. Kruger
Nonlinear Analysis: Theory, Methods & Applications 75 (3) 1124 (2012)
DOI: 10.1016/j.na.2011.05.098
See this article

Proximal Point Algorithm Controlled by a Slowly Vanishing Term: Applications to Hierarchical Minimization

Alexandre Cabot
SIAM Journal on Optimization 15 (2) 555 (2005)
DOI: 10.1137/S105262340343467X
See this article

Perturbation Analysis of Error Bounds for Systems of Conic Linear Inequalities in Banach Spaces

Xi Yin Zheng and Kung Fu Ng
SIAM Journal on Optimization 15 (4) 1026 (2005)
DOI: 10.1137/03060179X
See this article

A regularization method for ill-posed bilevel optimization problems

Maitine Bergounioux and Mounir Haddou
RAIRO - Operations Research 40 (1) 19 (2006)
DOI: 10.1051/ro:2006009
See this article

A Sard theorem for tame set-valued mappings

A. Ioffe
Journal of Mathematical Analysis and Applications 335 (2) 882 (2007)
DOI: 10.1016/j.jmaa.2007.01.104
See this article

Outer Limit of Subdifferentials and Calmness Moduli in Linear and Nonlinear Programming

M. J. Cánovas, R. Henrion, M. A. López and J. Parra
Journal of Optimization Theory and Applications 169 (3) 925 (2016)
DOI: 10.1007/s10957-015-0793-x
See this article

Stability of Error Bounds for Convex Constraint Systems in Banach Spaces

Alexander Kruger, Huynh Van Ngai and Michel Théra
SIAM Journal on Optimization 20 (6) 3280 (2010)
DOI: 10.1137/100782206
See this article

Global Error Bounds for γ-paraconvex Multifunctions

Hui Huang and Runxin Li
Set-Valued and Variational Analysis 19 (3) 487 (2011)
DOI: 10.1007/s11228-010-0172-6
See this article

Strong Fermat Rules for Constrained Set-Valued Optimization Problems on Banach Spaces

S. K. Zhu, S. J. Li and X. W. Xue
Set-Valued and Variational Analysis 20 (4) 637 (2012)
DOI: 10.1007/s11228-012-0214-3
See this article

Characterization of metric regularity for -subsmooth multifunctions

Xi Yin Zheng and Qing Hai He
Nonlinear Analysis: Theory, Methods & Applications 100 111 (2014)
DOI: 10.1016/j.na.2014.01.013
See this article

Regularity on a Fixed Set

A. D. Ioffe
SIAM Journal on Optimization 21 (4) 1345 (2011)
DOI: 10.1137/110820981
See this article

Regularity Modulus and Radius of Set-Valued Mappings

Huynh Van Ngai
Vietnam Journal of Mathematics 42 (4) 567 (2014)
DOI: 10.1007/s10013-014-0100-4
See this article

Critical Objective Size and Calmness Modulus in Linear Programming

M. J. Cánovas, R. Henrion, J. Parra and F. J. Toledo
Set-Valued and Variational Analysis 24 (4) 565 (2016)
DOI: 10.1007/s11228-015-0351-6
See this article

Linear and nonlinear error bounds for lower semicontinuous functions

Mian-tao Chao and Cao-zong Cheng
Optimization Letters 8 (4) 1301 (2014)
DOI: 10.1007/s11590-013-0648-z
See this article

Directional Hölder Metric Regularity

Huynh Van Ngai, Nguyen Huu Tron and Michel Théra
Journal of Optimization Theory and Applications 171 (3) 785 (2016)
DOI: 10.1007/s10957-015-0797-6
See this article

Stability of Error Bounds for Semi-infinite Convex Constraint Systems

Huynh Van Ngai, Alexander Kruger and Michel Théra
SIAM Journal on Optimization 20 (4) 2080 (2010)
DOI: 10.1137/090767819
See this article

An Approximate Exact Penalty in Constrained Vector Optimization on Metric Spaces

A. J. Zaslavski
Journal of Optimization Theory and Applications 162 (2) 649 (2014)
DOI: 10.1007/s10957-013-0288-6
See this article

Nonlinear local error bounds via a change of metric

D. Azé and J. -N. Corvellec
Journal of Fixed Point Theory and Applications 16 (1-2) 351 (2014)
DOI: 10.1007/s11784-015-0220-9
See this article

Semigroups of Relations and Subdifferentials of the Minimal Time Function and of the Geodesic Distance

Jean-Paul Penot
SIAM Journal on Control and Optimization 51 (4) 2839 (2013)
DOI: 10.1137/120879269
See this article

Set Optimization and Applications - The State of the Art

Truong Xuan Duc Ha
Springer Proceedings in Mathematics & Statistics, Set Optimization and Applications - The State of the Art 151 249 (2015)
DOI: 10.1007/978-3-662-48670-2_8
See this article

Boundary of subdifferentials and calmness moduli in linear semi-infinite optimization

M. J. Cánovas, A. Hantoute, J. Parra and F. J. Toledo
Optimization Letters 9 (3) 513 (2015)
DOI: 10.1007/s11590-014-0767-1
See this article

On Calmness of the Argmin Mapping in Parametric Optimization Problems

Diethard Klatte and Bernd Kummer
Journal of Optimization Theory and Applications 165 (3) 708 (2015)
DOI: 10.1007/s10957-014-0643-2
See this article

Strong KKT conditions and weak sharp solutions in convex-composite optimization

Xi Yin Zheng and Kung Fu Ng
Mathematical Programming 126 (2) 259 (2011)
DOI: 10.1007/s10107-009-0277-6
See this article

Equivalent Conditions for Local Error Bounds

K. W. Meng and X. Q. Yang
Set-Valued and Variational Analysis 20 (4) 617 (2012)
DOI: 10.1007/s11228-012-0217-0
See this article

Exact penalty and error bounds in DC programming

Hoai An Le Thi, Tao Pham Dinh and Huynh Van Ngai
Journal of Global Optimization 52 (3) 509 (2012)
DOI: 10.1007/s10898-011-9765-3
See this article

Nonlinear Metric Subregularity

Alexander Y. Kruger
Journal of Optimization Theory and Applications 171 (3) 820 (2016)
DOI: 10.1007/s10957-015-0807-8
See this article

Nonlinear Error Bounds via a Change of Function

Dominique Azé and Jean-Noël Corvellec
Journal of Optimization Theory and Applications 172 (1) 9 (2017)
DOI: 10.1007/s10957-016-1001-3
See this article

Calmness of the Feasible Set Mapping for Linear Inequality Systems

M. J. Cánovas, M. A. López, J. Parra and F. J. Toledo
Set-Valued and Variational Analysis 22 (2) 375 (2014)
DOI: 10.1007/s11228-014-0272-9
See this article

Perturbation Analysis of Error Bounds for Quasi-subsmooth Inequalities and Semi-infinite Constraint Systems

Xi Yin Zheng and Zhou Wei
SIAM Journal on Optimization 22 (1) 41 (2012)
DOI: 10.1137/100806199
See this article

Error Bound for Conic Inequality in Hilbert Spaces

Jiangxing Zhu, Qinghai He and Jinchuan Lin
Abstract and Applied Analysis 2014 1 (2014)
DOI: 10.1155/2014/785213
See this article

Error Bound for Conic Inequality

Xi Yin Zheng and Kung Fu Ng
Vietnam Journal of Mathematics 42 (4) 509 (2014)
DOI: 10.1007/s10013-014-0098-7
See this article

Directional Metric Regularity of Multifunctions

Huynh Van Ngai and Michel Théra
Mathematics of Operations Research 40 (4) 969 (2015)
DOI: 10.1287/moor.2014.0705
See this article

Characterizations of Local and Global Error Bounds for Convex Inequalities in Banach Spaces

Hui Hu
SIAM Journal on Optimization 18 (1) 309 (2007)
DOI: 10.1137/050644872
See this article

Error Bounds: Necessary and Sufficient Conditions

Marian J. Fabian, René Henrion, Alexander Y. Kruger and Jiří V. Outrata
Set-Valued and Variational Analysis 18 (2) 121 (2010)
DOI: 10.1007/s11228-010-0133-0
See this article

Metric regularity of epigraphical multivalued mappings and applications to vector optimization

Marius Durea, Huu Tron Nguyen and Radu Strugariu
Mathematical Programming 139 (1-2) 139 (2013)
DOI: 10.1007/s10107-013-0665-9
See this article

Calmness of the Argmin Mapping in Linear Semi-Infinite Optimization

M. J. Cánovas, A. Hantoute, J. Parra and F. J. Toledo
Journal of Optimization Theory and Applications 160 (1) 111 (2014)
DOI: 10.1007/s10957-013-0371-z
See this article

Upward Slopes and Inf-Convolutions

Sjur Didrik Flåm
Mathematics of Operations Research 31 (1) 188 (2006)
DOI: 10.1287/moor.1050.0176
See this article

On Subregularity Properties of Set-Valued Mappings

Marius Apetrii, Marius Durea and Radu Strugariu
Set-Valued and Variational Analysis 21 (1) 93 (2013)
DOI: 10.1007/s11228-012-0213-4
See this article

Error Bounds Via Exact Penalization with Applications to Concave and Quadratic Systems

Hoai An Le Thi, Huynh Van Ngai and Tao Pham Dinh
Journal of Optimization Theory and Applications 171 (1) 228 (2016)
DOI: 10.1007/s10957-016-0967-1
See this article

Error Bounds in Metric Spaces and Application to the Perturbation Stability of Metric Regularity

Huynh Van Ngai and Michel Théra
SIAM Journal on Optimization 19 (1) 1 (2008)
DOI: 10.1137/060675721
See this article

Calmness modulus of fully perturbed linear programs

M. J. Cánovas, A. Hantoute, J. Parra and F. J. Toledo
Mathematical Programming 158 (1-2) 267 (2016)
DOI: 10.1007/s10107-015-0926-x
See this article

Error bounds for convex differentiable inequality systems in Banach spaces

Huynh van Ngai and Michel Théra
Mathematical Programming 104 (2-3) 465 (2005)
DOI: 10.1007/s10107-005-0624-1
See this article

Recent contributions to linear semi-infinite optimization: an update

M. A. Goberna and M. A. López
Annals of Operations Research 271 (1) 237 (2018)
DOI: 10.1007/s10479-018-2987-8
See this article

Variational Analysis and Applications

Boris S. Mordukhovich
Springer Monographs in Mathematics, Variational Analysis and Applications 103 (2018)
DOI: 10.1007/978-3-319-92775-6_3
See this article

Error Bounds and Hölder Metric Subregularity

Alexander Y. Kruger
Set-Valued and Variational Analysis 23 (4) 705 (2015)
DOI: 10.1007/s11228-015-0330-y
See this article

Nonlinear error bounds for lower semicontinuous functions on metric spaces

Jean-Noël Corvellec and Viorica V. Motreanu
Mathematical Programming 114 (2) 291 (2008)
DOI: 10.1007/s10107-007-0102-z
See this article

METRIC REGULARITY—A SURVEY PART II. APPLICATIONS

A. D. IOFFE
Journal of the Australian Mathematical Society 101 (3) 376 (2016)
DOI: 10.1017/S1446788715000695
See this article

On error bound moduli for locally Lipschitz and regular functions

M. H. Li, K. W. Meng and X. Q. Yang
Mathematical Programming 171 (1-2) 463 (2018)
DOI: 10.1007/s10107-017-1200-1
See this article

Calmness of the Optimal Value in Linear Programming

M. J. Gisbert, M. J. Cánovas, J. Parra and F. J. Toledo
SIAM Journal on Optimization 28 (3) 2201 (2018)
DOI: 10.1137/17M112333X
See this article

Convex Difference Criteria for the Quantitative Stability of Parametric Quasidifferentiable Systems

A. Uderzo
Set-Valued Analysis 15 (1) 81 (2007)
DOI: 10.1007/s11228-006-0035-3
See this article

Error bounds for systems of lower semicontinuous functions in Asplund spaces

Huynh van Ngai and Michel Théra
Mathematical Programming 116 (1-2) 397 (2009)
DOI: 10.1007/s10107-007-0121-9
See this article

On Implicit Multifunction Theorems

D. Azé and S. Benahmed
Set-Valued Analysis 16 (2-3) 129 (2008)
DOI: 10.1007/s11228-008-0072-1
See this article

Slopes, Error Bounds and Weak Sharp Pareto Minima of a Vector-Valued Map

Xuan Duc Ha Truong
Journal of Optimization Theory and Applications 176 (3) 634 (2018)
DOI: 10.1007/s10957-018-1240-6
See this article

Error Bounds and Multipliers in Constrained Optimization Problems with Tolerance

Jean-Paul Penot
SIAM Journal on Optimization 29 (1) 522 (2019)
DOI: 10.1137/17M1149778
See this article

Calmness of constraint systems with applications

René Henrion and Jiří V. Outrata
Mathematical Programming 104 (2-3) 437 (2005)
DOI: 10.1007/s10107-005-0623-2
See this article

Well-posedness and generalized metric subregularity with respect to an admissible function

Binbin Zhang and Xiyin Zheng
Science China Mathematics 62 (4) 809 (2019)
DOI: 10.1007/s11425-017-9204-5
See this article

An approach to calmness of linear inequality systems from Farkas lemma

M. J. Cánovas, N. Dinh, D. H. Long and J. Parra
Optimization Letters 13 (2) 295 (2019)
DOI: 10.1007/s11590-018-01380-y
See this article

Some characterizations of error bound for non-lower semicontinuous functions

Miantao Chao, Xiuping Wang and Dongying Liang
Journal of Inequalities and Applications 2019 (1) (2019)
DOI: 10.1186/s13660-019-1987-9
See this article

A new concept of slope for set-valued maps and applications in set optimization studied with Kuroiwa’s set approach

Truong Xuan Duc Ha
Mathematical Methods of Operations Research 91 (1) 137 (2020)
DOI: 10.1007/s00186-019-00676-8
See this article

Hölder Error Bounds and Hölder Calmness with Applications to Convex Semi-infinite Optimization

Alexander Y. Kruger, Marco A. López, Xiaoqi Yang and Jiangxing Zhu
Set-Valued and Variational Analysis 27 (4) 995 (2019)
DOI: 10.1007/s11228-019-0504-0
See this article

Perturbation of error bounds

A. Y. Kruger, M. A. López and M. A. Théra
Mathematical Programming 168 (1-2) 533 (2018)
DOI: 10.1007/s10107-017-1129-4
See this article

Recent contributions to linear semi-infinite optimization

M. A. Goberna and M. A. López
4OR 15 (3) 221 (2017)
DOI: 10.1007/s10288-017-0350-6
See this article

Nonlinear error bounds for quasiconvex inequality systems

Satoshi Suzuki and Daishi Kuroiwa
Optimization Letters 11 (1) 107 (2017)
DOI: 10.1007/s11590-015-0992-2
See this article