Kozan, A.Uyar, B.Tanil, H.2025-05-102025-05-1020250932-502610.1007/s00362-025-01688-92-s2.0-105003394013https://doi.org/10.1007/s00362-025-01688-9In this article the notations in the following sections: Lemma 2.1, Theorem, Remark 2.1, Remark 2.2, Remark 2.4, Proof of Lemma 2.1 and Proof of Theorem were incorrectly published. The incorrect and correct versions are given as: Incorrect notations: Correct notations: The notations in following sections: Remark 2.1, Remark 2.2, Remark 2.3, Remark 2.4 were incorrectly published. The incorrect and correct versions are given as: Incorrect notation: Correct notation: The notations in following section: Remark 2.4 was incorrectly published. The incorrect and correct versions are given as: incorrect notation: Correct notation: The original article has been corrected. © The Author(s) 2025.eninfo:eu-repo/semantics/closedAccessErratum663Q3Q2WOS:001459833200001