Derivatives of the efficient point multifunction in parametric vector optimization problems
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Publication:1949603
DOI10.1007/s10957-012-0099-1zbMath1282.90164OpenAlexW1967435820MaRDI QIDQ1949603
Publication date: 8 May 2013
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-012-0099-1
sensitivity analysisefficient point multifunctionparametric vector optimizationsemiinfinite optimization\(S\)-derivative
Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)
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Cites Work
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- Clarke coderivatives of efficient point multifunctions in parametric vector optimization
- Generalized Clarke epiderivatives of parametric vector optimization problems
- On proto-differentiability of generalized perturbation maps
- Coderivatives of efficient point multifunctions in parametric vector optimization
- Coderivatives of frontier and solution maps in parametric multiobjective optimization
- Stability of semi-infinite vector optimization problems under functional perturbations
- Pseudo-Lipschitz property of linear semi-infinite vector optimization problems
- Sufficient conditions for pseudo-Lipschitz property in convex semi-infinite vector optimization problems
- Sensitivity analysis in multiobjective optimization
- Proto-differentiability of set-valued mappings and its applications in optimization
- Contingent derivative of the perturbation map in multiobjective optimization
- Sensitivity analysis in convex vector optimization
- Semi-infinite programming. Workshop, Cottbus, Germany, September 1996
- Sensitivity analysis in vector optimization
- Sensitivity analysis in parametrized convex vector optimization
- On sensitivity analysis in vector optimization
- Qualification and optimality conditions for dc programs with infinite constraints
- Subdifferentials of Marginal Functions in Semi-infinite Programming
- Constraint Qualifications for Convex Inequality Systems with Applications in Constrained Optimization
- Stability and Sensitivity Analysis in Convex Vector Optimization
- Set-valued derivatives of multifunctions and optimality conditions
- Set-valued analysis