On Second-Order Composed Proto-Differentiability of Proper Perturbation Maps in Parametric Vector Optimization Problems

Le Thanh Tung ()
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Le Thanh Tung: Department of Mathematics, College of Natural Sciences, Can Tho University, Can Tho 900000, Vietnam

Asia-Pacific Journal of Operational Research (APJOR), 2021, vol. 38, issue 01, 1-24

Abstract: The main aim of this paper is to study second-order sensitivity analysis in parametric vector optimization problems. We prove that the proper perturbation maps and the proper efficient solution maps of parametric vector optimization problems are second-order composed proto-differentiable under some appropriate qualification conditions. Some examples are provided to illustrate our results.

Keywords: Parametric vector optimization problems; second-order composed proto-differentiability; proper efficient solution maps; proper perturbation maps (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0217595920500402

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