An application of \(H\)-differentiability to generalized complementarity problems over symmetric cones

DOI10.1016/j.camwa.2011.10.046zbMath1238.90124OpenAlexW1980545577MaRDI QIDQ418273

Jia Tang, Chang-Feng Ma

Publication date: 28 May 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.10.046

zbMATH Keywords

symmetric coneEuclidean Jordan algebra\(C\)-function\(H\)-differentiabilitygeneralized complementarity problemsstrong semismoothness

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

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• On the local uniqueness of solutions of variational inequalities under \(H\)-differentiability
• A regularization method for the second-order cone complementarity problem with the Cartesian \(P_0\)-property
• Algebraic univalence theorems for nonsmooth functions
• A nonsmooth version of Newton's method
• An application of \(H\)-differentiability to nonnegative and unrestricted generalized complementarity problems
• On Characterizations of P- and P ₀-Properties in Nonsmooth Functions
• VECTOR-VALUED IMPLICIT LAGRANGIAN FOR SYMMETRIC CONE COMPLEMENTARITY PROBLEMS
• Engineering and Economic Applications of Complementarity Problems
• Inverse and implicit function theorems forH-differentiable and semismooth functions
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations

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