A LSP is basically a sequence of LFIB entries in consecutive label switch router (LSR) used to forward traffic also called FEC (forward equivalence class) in this environment.
Now the only traffic I am aware of being forwarded "point to multipoint" would be multicast traffic. There is an RFC on this topic:
RFC3353 "Overview of IP Multicast in a Multi-Protocol Label Switching (MPLS) Environment"
2) multipoint to point LSP
This term triggers in my memories the term "vc-merge". It is used in a cell-mode MPLS environment, where VPI/VCI values are used as forwarding labels through an ATM cloud. The LSP is then a VC. VC-merge allows to receive different ATM cells with different VPI/VCI and forward them with one VPI/VCI value. In other words many incoming VCs (LSPs) are forwarded outgoing on a single VC (LSP).
You can read more about the details in "MPLS over ATM: VC Merge" found at
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