On Second-Order Composed Proto-Differentiability of Proper Perturbation Maps in Parametric Vector Optimization Problems-Reference-Cited by-同舟云学术

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

Published:2020-09-21 Issue:01 Volume:38 Page:2050040
ISSN:0217-5959
Container-title:Asia-Pacific Journal of Operational Research
language:en
Short-container-title:Asia Pac. J. Oper. Res.

Author:

Tung Le Thanh¹

Affiliation:

1. Department of Mathematics, College of Natural Sciences, Can Tho University, Can Tho 900000, Vietnam

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Management Science and Operations Research,Management Science and Operations Research

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217595920500402

Reference35 articles.

1. Sensitivity analysis in constrained set-valued optimization via Studniarski derivatives

2. Second-order composed contingent derivatives of perturbation maps in set-valued optimization

3. K-epiderivatives for set-valued functions and optimization

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