TY - JOUR AU - Li, Zhiqiang AU - Ychussie, Beatriz PY - 2020 DA - 2020/01/28 TI - Retraction Note: Sharp geometrical properties of a-rarefied sets via fixed point index for the Schrödinger operator equations JO - Fixed Point Theory and Applications SP - 2 VL - 2020 IS - 1 AB - The Editors-in-Chief have retracted this article [1] because it overlaps significantly with a number of previously published articles from different authors [2-4] and one article by different authors that was simultaneously under consideration with another journal [5]. The article also showed evidence of peer review manipulation. Additionally, the identity of the corresponding author could not be verified: Roskilde University have confirmed that Beatriz Ychussie has not been affiliated with their institution. The authors have not responded to any correspondence with regards to this retraction. SN - 1687-1812 UR - https://doi.org/10.1186/s13663-020-0671-6 DO - 10.1186/s13663-020-0671-6 ID - Li2020 ER -