RT Journal Article
T1 Krasnosel'skii type compression-expansion fixed point theorem for set contractions and star convex sets
A1 Lois-Prados, Cristina
A1 Rodríguez López, Rosana
A1 Precup, Radu
K1 compression-expansion fixed point theorem
K1 set contraction
K1 star convex set
K1 implicit differential system
AB In this paper, we give or improve compression-expansion results for set contractions in conical domains determined by balls or star convex sets. In the compression case, we use Potter’s idea of proof, while the expansion case is reduced to the compression one by means of a change of variable. Finally, to illustrate the theory, we give an application to the initial value problem for a system of implicit first order differential equations.
PB Springer
YR 2020
FD 2020
LK http://hdl.handle.net/10347/31804
UL http://hdl.handle.net/10347/31804
LA eng
NO C. Lois-Prados, R. Precup, R. Rodríguez-López (2020). Krasnosel'skii type compression-expansion fixed point theorem for set contractions and star convex sets. Journal of Fixed Point Theory and Applications, 22(63).
NO This is a post-peer-review, pre-copyedit version of an article published in Journal of Fixed Point Theory and Applications. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11784-020-00799-0
NO Cristina Lois-Prados and Rosana Rodríguez-López acknowledge the support of the research grant MTM2016-75140-P (AEI/FEDER, UE). The research of Cristina Lois-Prados has been partially supported by grant ED481A-2018/080 from Xunta de Galicia.
DS Minerva
RD 22 abr 2026