Rodríguez-López, RosanaLois-Prados, Cristina2024-01-122024-01-122020C. Lois-Prados, R. Rodríguez-López (2020). A generalization of Krasnosel'skii compression fixed point theorem by using star convex sets. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 150(1), 277–303.0308-2105http://hdl.handle.net/10347/31828In the framework of fixed point theory, many generalizations of the classical results due to Krasnosel’skii are known. One of these extensions consists in relaxing the conditions imposed on the mapping, working with k-set contractions instead of continuous and compact maps. The aim of this work if to study in detail some fixed point results of this type, and obtain a certain generalization by using star convex sets.engCopyright © Royal Society of Edinburgh 2019 Attribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Krasnosel'skii fixed point theoremk-set contractionstar convex set34B0534B1534B1847H0847H0947H10journal article10.1017/prm.2018.1191473-7124open access