RT Journal Article
T1 A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
A1 Infante, Gennaro
A1 Mascali, Giovanni
A1 Rodríguez López, Jorge
K1 Fixed point index
K1 Fixed point theorem
K1 Operator system
K1 Hammerstein system
AB We provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel’skiĭ cone compression–expansion type methodologies and Schauder-type ones. In particular we establish a localization of the solution of the system within the product of a conical shell and of a closed convex set. By iterating this procedure we prove the existence of multiple solutions. We illustrate our theoretical results by applying them to the solvability of systems of Hammerstein integral equations. In the case of two specific boundary value problems and with given nonlinearities, we are also able to obtain a numerical solution, consistent with our theoretical results
PB Elsevier
YR 2024
FD 2024-06-24
LK https://hdl.handle.net/10347/44609
UL https://hdl.handle.net/10347/44609
LA eng
NO Gennaro Infante, Giovanni Mascali, Jorge Rodríguez–López, A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems, Nonlinear Analysis: Real World Applications, Volume 80, 2024, 104165, ISSN 1468-1218, https://doi.org/10.1016/j.nonrwa.2024.104165
DS Minerva
RD 4 may 2026