--- _id: '8750' abstract: - lang: eng text: In this article we propose a descent method for equality and inequality constrained multiobjective optimization problems (MOPs) which generalizes the steepest descent method for unconstrained MOPs by Fliege and Svaiter to constrained problems by using two active set strategies. Under some regularity assumptions on the problem, we show that accumulation points of our descent method satisfy a necessary condition for local Pareto optimality. Finally, we show the typical behavior of our method in a numerical example. author: - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: https://orcid.org/0000-0002-3389-793X - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz citation: ama: 'Gebken B, Peitz S, Dellnitz M. A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In: Numerical and Evolutionary Optimization – NEO 2017. Cham; 2018. doi:10.1007/978-3-319-96104-0_2' apa: Gebken, B., Peitz, S., & Dellnitz, M. (2018). A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In Numerical and Evolutionary Optimization – NEO 2017. Cham. https://doi.org/10.1007/978-3-319-96104-0_2 bibtex: '@inproceedings{Gebken_Peitz_Dellnitz_2018, place={Cham}, title={A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems}, DOI={10.1007/978-3-319-96104-0_2}, booktitle={Numerical and Evolutionary Optimization – NEO 2017}, author={Gebken, Bennet and Peitz, Sebastian and Dellnitz, Michael}, year={2018} }' chicago: Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems.” In Numerical and Evolutionary Optimization – NEO 2017. Cham, 2018. https://doi.org/10.1007/978-3-319-96104-0_2. ieee: B. Gebken, S. Peitz, and M. Dellnitz, “A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems,” in Numerical and Evolutionary Optimization – NEO 2017, 2018. mla: Gebken, Bennet, et al. “A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems.” Numerical and Evolutionary Optimization – NEO 2017, 2018, doi:10.1007/978-3-319-96104-0_2. short: 'B. Gebken, S. Peitz, M. Dellnitz, in: Numerical and Evolutionary Optimization – NEO 2017, Cham, 2018.' conference: name: 'NEO 2017: Numerical and Evolutionary Optimization' date_created: 2019-03-29T13:26:47Z date_updated: 2022-01-06T07:04:00Z department: - _id: '101' doi: 10.1007/978-3-319-96104-0_2 language: - iso: eng place: Cham publication: Numerical and Evolutionary Optimization – NEO 2017 publication_identifier: isbn: - '9783319961033' - '9783319961040' issn: - 1860-949X - 1860-9503 publication_status: published status: public title: A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems type: conference user_id: '47427' year: '2018' ...