Calmness Modulus of Linear Semi-infinite Programs

Our main goal is to compute or estimate the calmness modulus of the argmin mapping of linear semi-infinite optimization problems under canonical perturbations, i.e., perturbations of the objective ...

[1]  ABDERRAHIM JOURANI,et al.  Hoffman's Error Bound, Local Controllability, and Sensitivity Analysis , 2000, SIAM J. Control. Optim..

[2]  Xi Yin Zheng,et al.  Metric Regularity and Constraint Qualifications for Convex Inequalities on Banach Spaces , 2003, SIAM J. Optim..

[3]  Wu Li Sharp Lipschitz Constants for Basic Optimal Solutions and Basic Feasible Solutions of Linear Programs , 1994 .

[4]  René Henrion,et al.  On the Calmness of a Class of Multifunctions , 2002, SIAM J. Optim..

[5]  M. J. Cánovas,et al.  Calmness of the Feasible Set Mapping for Linear Inequality Systems , 2014 .

[6]  C. Zălinescu Convex analysis in general vector spaces , 2002 .

[7]  Asen L. Dontchev,et al.  Characterizations of Lipschitz Stability in Optimization , 1995 .

[8]  Marie Frei,et al.  Recent Developments In Well Posed Variational Problems , 2016 .

[9]  Marco A. López,et al.  Metric regularity of semi-infinite constraint systems , 2005, Math. Program..

[10]  F. Javier Toledo-Moreo,et al.  Calmness of the Argmin Mapping in Linear Semi-Infinite Optimization , 2014, J. Optim. Theory Appl..

[11]  A. Propoi On the Theory of Max-Min , 1977 .

[12]  M. J. Cánovas,et al.  On the Lipschitz Modulus of the Argmin Mapping in Linear Semi-Infinite Optimization , 2008 .

[13]  Günther Nürnberger,et al.  Unicity in Semi-Infinite Optimization , 1984 .

[14]  R. Rockafellar,et al.  Implicit Functions and Solution Mappings: A View from Variational Analysis , 2009 .

[15]  R. Tyrrell Rockafellar,et al.  Ample Parameterization of Variational Inclusions , 2001, SIAM J. Optim..

[16]  Jean-Noël Corvellec,et al.  Characterizations of error bounds for lower semicontinuous functions on metric spaces , 2004 .

[17]  S. M. Robinson Some continuity properties of polyhedral multifunctions , 1981 .

[18]  D. Klatte Nonsmooth equations in optimization , 2002 .

[19]  R. Rockafellar,et al.  Implicit Functions and Solution Mappings , 2009 .

[20]  M. A. López-Cerdá,et al.  Linear Semi-Infinite Optimization , 1998 .

[21]  Marco A. López,et al.  Metric Regularity in Convex Semi-Infinite Optimization under Canonical Perturbations , 2007, SIAM J. Optim..

[22]  Marco A. López,et al.  Isolated calmness of solution mappings in convex semi-infinite optimization☆ , 2009 .

[23]  Huynh van Ngai,et al.  Stability of Error Bounds for Convex Constraint Systems in Banach Spaces , 2010, SIAM J. Optim..

[24]  J. Danskin The Theory of Max-Min, with Applications , 1966 .