On the Lipschitz Continuity of the Solution Map in Semidefinite Linear Complementarity Problems

DOI10.1287/moor.1040.0134zbMath1082.90111OpenAlexW2079833289MaRDI QIDQ5704232

D. Sampangi Raman, Vetrivel, V., Ramamurthy Balaji, Thiruvenkatachari Parthasarathy

Publication date: 11 November 2005

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1287/moor.1040.0134

zbMATH Keywords

Lipschitz continuity\(P\)-property\(Q\)-property, GUS-propertysemidefinite linear complementarity problem (SDLCP)

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (6)

Preface: International conference on game theory and optimization, June 6--10, 2016, Indian Institute of Technology Madras, Chennai, India ⋮ T. Parthasarathy's contributions to complementarity problems: a survey ⋮ Lipschitz continuity of the solution mapping of symmetric cone complementarity problems ⋮ On the Lipschitzian property in linear complementarity problems over symmetric cones ⋮ On an interconnection between the Lipschitz continuity of the solution map and the positive principal minor property in linear complementarity problems over Euclidean Jordan algebras ⋮ On the \(P_2'\) and \(P_2\)-properties in the semidefinite linear complementarity problem

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