A sufficient condition for lower semicontinuity of solution sets of systems of convex inequalities

Sensitivity, Stability and Parametric Analysis - Mathematical Programming Studies ◽

10.1007/bfb0121216 ◽

1984 ◽

pp. 139-149 ◽

Author(s):

Diethard Klatte

Keyword(s):

Lower Semicontinuity ◽

Sufficient Condition ◽

Solution Sets ◽

Convex Inequalities ◽

Systems Of Convex Inequalities

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The Lower Semicontinuity of Optimal Solution Sets

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5288 ◽

1997 ◽

Vol 207 (1) ◽

pp. 240-254 ◽

Author(s):

Jingang Zhao

Keyword(s):

Lower Semicontinuity ◽

Optimal Solution ◽

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Systems of convex inequalities and their applications

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(79)90057-x ◽

1979 ◽

Vol 70 (2) ◽

pp. 445-459 ◽

Author(s):

Kazuo Sakamaki ◽

Wataru Takahashi

Keyword(s):

Convex Inequalities ◽

Systems Of Convex Inequalities

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Fan's theorem concerning systems of convex inequalities and its applications

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(88)90162-x ◽

1988 ◽

Vol 135 (2) ◽

pp. 383-398 ◽

Author(s):

Naoki Shioji ◽

Wataru Takahashi

Keyword(s):

Convex Inequalities ◽

Systems Of Convex Inequalities

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Theorems of the Alternative for Systems of Convex Inequalities

Set-Valued and Variational Analysis ◽

10.1007/s11228-017-0406-y ◽

2017 ◽

Vol 27 (1) ◽

pp. 51-70 ◽

Author(s):

Aram V. Arutyunov ◽

Sergey E. Zhukovskiy ◽

Boban Marinkovic

Keyword(s):

Theorems Of The Alternative ◽

Convex Inequalities ◽

Systems Of Convex Inequalities

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(PS)-weak lower semicontinuity in one dimension: A necessary and sufficient condition

Nonlinear Analysis ◽

10.1016/j.na.2005.12.003 ◽

2007 ◽

Vol 66 (3) ◽

pp. 582-590

Author(s):

Daniel Vasiliu ◽

Baisheng Yan

Keyword(s):

Lower Semicontinuity ◽

One Dimension ◽

Sufficient Condition ◽

Necessary And Sufficient Condition ◽

Weak Lower Semicontinuity ◽

Necessary And Sufficient

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Nonlinear complementarity problem and systems of convex inequalities

Journal of Optimization Theory and Applications ◽

10.1007/bf00932892 ◽

1978 ◽

Vol 24 (3) ◽

pp. 499-506 ◽

Author(s):

W. Takahashi

Keyword(s):

Complementarity Problem ◽

Nonlinear Complementarity Problem ◽

Nonlinear Complementarity ◽

Convex Inequalities ◽

Systems Of Convex Inequalities

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On systems of convex inequalities

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(79)90098-2 ◽

1979 ◽

Vol 68 (1) ◽

pp. 25-34 ◽

Author(s):

Chung-Wei Ha

Keyword(s):

Convex Inequalities ◽

Systems Of Convex Inequalities

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Asymptotic Constraint Qualifications and Error Bounds for Semi-Infinite Systems of Convex Inequalities

Nonconvex Optimization and Its Applications - Semi-Infinite Programming ◽

10.1007/978-1-4757-3403-4_4 ◽

2001 ◽

pp. 75-100 ◽

Author(s):

Wu Li ◽

Ivan Singer

Keyword(s):

Error Bounds ◽

Constraint Qualifications ◽

Infinite Systems ◽

Convex Inequalities ◽

Systems Of Convex Inequalities ◽

Asymptotic Constraint

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Error bounds for infinite systems of convex inequalities without Slater’s condition

Mathematical Programming ◽

10.1007/s101070050016 ◽

2000 ◽

Vol 88 (2) ◽

pp. 255-275 ◽

Author(s):

Martin Gugat

Keyword(s):

Error Bounds ◽

Infinite Systems ◽

Convex Inequalities ◽

Systems Of Convex Inequalities ◽

Slater’S Condition

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Hoffman’s Error Bound for Systems of Convex Inequalities

mathematical programming with data perturbations ◽

10.1201/9781003072119-9 ◽

2020 ◽

pp. 185-199 ◽

Author(s):

Diethard Klatte

Keyword(s):

Error Bound ◽

Convex Inequalities ◽

Systems Of Convex Inequalities

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