Variational geometry of the complementarity set for second order cone
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Publication:494863
DOI10.1007/s11228-014-0308-1zbMath1321.49032OpenAlexW2090081104MaRDI QIDQ494863
Yong-Jin Liu, Yong Jiang, Li-wei Zhang
Publication date: 2 September 2015
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-014-0308-1
normal conetangent conesecond order coneMordukhovich coderivativecomplementarity setvariational geometry
Sensitivity, stability, well-posedness (49K40) Set-valued and variational analysis (49J53) Set-valued and function-space-valued mappings on manifolds (58C06)
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Asymptotic Analysis for a Stochastic Second-Order Cone Programming and Applications ⋮ Mathematical programs with second-order cone complementarity constraints: strong stationarity and approximation method ⋮ Verifiable sufficient conditions for the error bound property of second-order cone complementarity problems ⋮ Exact Formula for the Second-Order Tangent Set of the Second-Order Cone Complementarity Set
Cites Work
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- On the coderivative of the projection operator onto the second-order cone
- Properties of equation reformulation of the Karush-Kuhn-Tucker condition for nonlinear second order cone optimization problems
- Generalized differential calculus for nonsmooth and set-valued mappings
- Complementarity functions and numerical experiments on some smoothing Newton methods for second-order-cone complementarity problems
- Perturbation analysis of second-order cone programming problems
- Lipschitz Behavior of Solutions to Convex Minimization Problems
- Optimization and nonsmooth analysis
- Strongly Regular Generalized Equations
- Variational Analysis
- The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications
- Convex Analysis
- On the basic theorem of complementarity
- Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems