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In this paper, second-order sensitivity analysis in vector optimization problems is considered. We prove that the efficient solution map and the efficient frontier map of a parameterized vector optimization problem… Click to show full abstract
In this paper, second-order sensitivity analysis in vector optimization problems is considered. We prove that the efficient solution map and the efficient frontier map of a parameterized vector optimization problem are second-order proto-differentiable under some appropriate qualification conditions. Some sufficient conditions for inner and outer approximation of the second-order proto-derivative are also provided.
Keywords:
order proto;
order;
proto differentiability;
second order;
differentiability perturbation
Journal Title: Set-Valued and Variational Analysis
Year Published: 2018
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Journal Title: Set-Valued and Variational Analysis
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!