RT Journal Article
T1 A fixed point index approach to Krasnosel’skiĭ-Precup fixed point theorem in cones and applications
A1 Rodríguez López, Jorge
K1 Coexistence fixed point
K1 Fixed point index
K1 Positive solution
K1 Hammerstein systems
K1 p-Laplacian system
K1 Coexistence fixed point
K1 Radial solution
AB We present an alternative approach to the vector version of Krasnosel’skiĭ compression–expansion fixed point theorem due to Precup, which is based on the fixed point index. It allows us to obtain new general versions of this fixed point theorem and also multiplicity results. We emphasize that all of them are coexistence fixed point theorems for operator systems, that means that every component of the fixed points obtained is non-trivial. Finally, these coexistence fixed point theorems are applied to obtain results concerning the existence of positive solutions for systems of Hammerstein integral equations and radially symmetric solutions of (P1,P2) Laplacian systems
PB Elsevier
YR 2022
FD 2022
LK http://hdl.handle.net/10347/29409
UL http://hdl.handle.net/10347/29409
LA eng
NO Nonlinear Analysis 226 (2023) 113138. https://doi.org/10.1016/j.na.2022.113138
NO Jorge Rodríguez–López was partially supported by Xunta de Galicia (Spain), project ED431C 2019/02 and AEI, Spain and FEDER , grant PID2020-113275GB-I00. The author thanks the referee for useful comments which led to the improvement of his paper and for the suggested additional references
DS Minerva
RD 24 abr 2026