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Under standard assumptions, we prove convergence of a subset of iterates to a quasi-stationary point and, if constraint qualifications hold, then the limit point is also a KKT-point of the multi-objective problem.\n                  <\/jats:p>","DOI":"10.5802\/ojmo.47","type":"journal-article","created":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T18:09:53Z","timestamp":1765217393000},"page":"1-36","source":"Crossref","is-referenced-by-count":0,"title":["Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients"],"prefix":"10.5802","volume":"6","author":[{"given":"Manuel","family":"Berkemeier","sequence":"first","affiliation":[{"name":"Department of Computer Science, TU Dortmund University, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sebastian","family":"Peitz","sequence":"additional","affiliation":[{"name":"Department of Computer Science, TU Dortmund University, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"3842","published-online":{"date-parts":[[2025,12,8]]},"reference":[{"key":"key2025121212053977467_1","first-page":"202","article-title":"Multi-Objective Training of Generative Adversarial Networks with Multiple Discriminators","volume":"97","author":"Albuquerque, Isabela","year":"2019","unstructured":"[1] Albuquerque, Isabela; Monteiro, Joao; Doan, Thang; Considine, Breandan; Falk, Tiago; Mitliagkas, Ioannis Multi-Objective Training of Generative Adversarial Networks with Multiple Discriminators, Proceedings of the 36th International Conference on Machine Learning (Proceedings of Machine Learning Research), Volume 97, PMLR (2019), pp. 202-211","journal-title":"Proceedings of the 36th International Conference on Machine Learning"},{"issue":"1","key":"key2025121212053977467_2","doi-asserted-by":"publisher","first-page":"741","DOI":"10.1016\/j.jmaa.2014.09.001","article-title":"A Dynamic Gradient Approach to Pareto Optimization with Nonsmooth Convex Objective Functions","volume":"422","author":"Attouch, H\u00e9dy","year":"2015","unstructured":"[2] Attouch, H\u00e9dy; Garrigos, Guillaume; Goudou, Xavier A Dynamic Gradient Approach to Pareto Optimization with Nonsmooth Convex Objective Functions, J. 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