Continuity of second-order contingent derivative of the efficient set map for parametrized multiobjective optimization
DOI10.1007/S11117-012-0177-5zbMath1272.90082OpenAlexW2078988615MaRDI QIDQ369600
Mohammad Hasan, M. Dambrine, H. S. Yoon
Publication date: 19 September 2013
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-012-0177-5
efficient set mapsparametrized multiobjective optimizationsecond-order contingent derivativesupper semicontinuity and lower semicontinuity
Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)
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Cites Work
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- Introduction to sensitivity and stability analysis in nonlinear programming
- Coderivatives of efficient point multifunctions in parametric vector optimization
- Sensitivity analysis in multiobjective optimization
- Contingent derivative of the perturbation map in multiobjective optimization
- Local stability of solutions to differentiable optimization problems in Banach spaces
- Sensitivity analysis in convex vector optimization
- Sensitivity analysis in vector optimization
- Sensitivity analysis in parametrized convex vector optimization
- Stability analysis for higher-order adjacent derivative in parametrized vector optimization
- Differential and sensitivity properties of gap functions for Minty vector variational inequalities
- Stability results for efficient solutions of vector optimization problems
- On the stability of closed-convex-valued mappings and the associated boundaries
- An optimization result for set-valued mappings and a stability property in vector problems with constraints
- Stability and Sensitivity Analysis in Convex Vector Optimization
- Set-valued analysis
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