Methods, systems, and apparatuses are provided for sending notification messages in multi-hop
User Equipment (UE)-to-network (U2N)
relay communications by intermediate relays in a
wireless communication
system, wherein a method comprises establishing a first PC5 connection with a remote UE for supporting a U2N
relay communication between the remote UE and a network via the first
relay UE and a second relay UE, establishing a second PC5 connection with the second relay UE for supporting the U2N relay communication, wherein the first relay UE is served by a first
cell, detecting a PC5 Radio Link Failure (RLF) on the second PC5 connection or receiving a notification message indicating RLF of a Uu link from the second relay UE, performing a
Radio Resource Control (RRC) connection re-establishment procedure to the network, omitting a transmission of a PC5-RRC message or not transmitting the PC5-RRC message to the remote UE if at least the first relay UE keeps being served by the first
cell or a serving
cell of the remote UE is still the first cell after completing the RRC connection re-establishment procedure, wherein the PC5-RRC message includes information indicating the PC5 RLF or a relay path failure, and transmitting the PC5-RRC message to the remote UE if at least the first relay UE changes to being served by a second cell or the serving cell of the remote UE is changed after completing the RRC connection re-establishment procedure.