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):

Some Dual Conditions for Global Weak Sharp Minimality of Nonconvex Functions

A. Uderzo
Numerical Functional Analysis and Optimization 35 (7-9) 1258 (2014)
DOI: 10.1080/01630563.2014.895749
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

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 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

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

Entropic Approximation for Mathematical Programs with Robust Equilibrium Constraints

Yongchao Liu and Huifu Xu
SIAM Journal on Optimization 24 (3) 933 (2014)
DOI: 10.1137/130931011
See this article

Set regularities and feasibility problems

Alexander Y. Kruger, D. Russell Luke and Nguyen H. Thao
Mathematical Programming (2016)
DOI: 10.1007/s10107-016-1039-x
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

Solving Disjunctive Optimization Problems by Generalized Semi-infinite Optimization Techniques

Peter Kirst and Oliver Stein
Journal of Optimization Theory and Applications 169 (3) 1079 (2016)
DOI: 10.1007/s10957-016-0862-9
See this article

Error bounds for mixed integer nonlinear optimization problems

Oliver Stein
Optimization Letters 10 (6) 1153 (2016)
DOI: 10.1007/s11590-016-1011-y
See this article

Perturbation of error bounds

A. Y. Kruger, M. A. López and M. A. Théra
Mathematical Programming (2017)
DOI: 10.1007/s10107-017-1129-4
See this article

Distributionally Robust Reward-Risk Ratio Optimization with Moment Constraints

Yongchao Liu, Rudabeh Meskarian and Huifu Xu
SIAM Journal on Optimization 27 (2) 957 (2017)
DOI: 10.1137/16M106114X
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

Error Bounds for the Difference of Two Convex Multifunctions

Hui Huang and Runxin Li
Set-Valued and Variational Analysis 22 (2) 447 (2014)
DOI: 10.1007/s11228-013-0271-2
See this article

A Versatile Approach to Metric Regularity, Openness, and Lipschitzian Properties

Jean-Paul Penot
Vietnam Journal of Mathematics 47 (3) 599 (2019)
DOI: 10.1007/s10013-019-00346-6
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

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

Error bounds for inequality systems defining convex sets

Joydeep Dutta and Juan Enrique Martínez-Legaz
Mathematical Programming (2020)
DOI: 10.1007/s10107-020-01575-1
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

Truong Xuan Duc Ha
151 249 (2015)
DOI: 10.1007/978-3-662-48670-2_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

Jean-Paul Penot
266 117 (2013)
DOI: 10.1007/978-1-4614-4538-8_2
See this article

Optimality Conditions via Exact Penalty Functions

K. W. Meng and X. Q. Yang
SIAM Journal on Optimization 20 (6) 3208 (2010)
DOI: 10.1137/090771016
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

Jean-Paul Penot
266 407 (2013)
DOI: 10.1007/978-1-4614-4538-8_6
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

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

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

Jean-Paul Penot
266 357 (2013)
DOI: 10.1007/978-1-4614-4538-8_5
See this article

Marian J. Fabian, René Henrion, Alexander Y. Kruger and Jiří V. Outrata
33 (2012)
DOI: 10.1007/978-3-642-29210-1_6
See this article

Jean-Paul Penot
266 1 (2013)
DOI: 10.1007/978-1-4614-4538-8_1
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

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 FIXED POINTS OF GENERALIZED SET-VALUED CONTRACTIONS

S. BENAHMED and D. AZÉ
Bulletin of the Australian Mathematical Society 81 (1) 16 (2010)
DOI: 10.1017/S000497270900046X
See this article

Jean-Paul Penot
266 263 (2013)
DOI: 10.1007/978-1-4614-4538-8_4
See this article

DirectionalK-epiderivatives and error bound

Marco Castellani and Massimo Pappalardo
Optimization 60 (1-2) 201 (2011)
DOI: 10.1080/02331934.2010.526713
See this article

Implicit multifunction theorems in complete metric spaces

van Ngai Huynh, Huu Tron Nguyen and Michel Théra
Mathematical Programming 139 (1-2) 301 (2013)
DOI: 10.1007/s10107-013-0673-9
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

Bounds on the Objective Value of Feasible Roundings

Christoph Neumann, Oliver Stein and Nathan Sudermann-Merx
Vietnam Journal of Mathematics 48 (2) 299 (2020)
DOI: 10.1007/s10013-020-00393-4
See this article

Jean-Paul Penot
266 463 (2013)
DOI: 10.1007/978-1-4614-4538-8_7
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

Jean-Paul Penot
266 187 (2013)
DOI: 10.1007/978-1-4614-4538-8_3
See this article