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

Author

Listed:
  • Le Thanh Tung

    (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.

Suggested Citation

  • Le Thanh Tung, 2021. "On Second-Order Composed Proto-Differentiability of Proper Perturbation Maps in Parametric Vector Optimization Problems," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 38(01), pages 1-24, February.
    • Handle: RePEc:wsi:apjorx:v:38:y:2021:i:01:n:s0217595920500402
    DOI: 10.1142/S0217595920500402
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