  We advance two alternative proposals for the island contributions to the
entanglement negativity of various pure and mixed state configurations in
quantum field theories coupled to semiclassical gravity. The first construction
involves the extremization of an algebraic sum of the generalized Renyi
entropies of order half. The second proposal involves the extremization of the
sum of the effective entanglement negativity of quantum matter fields and the
backreacted area of a cosmic brane spanning the entanglement wedge cross
section which also extremizes the generalized Renyi reflected entropy of order
half. These proposals are utilized to obtain the island contributions to the
entanglement negativity of various pure and mixed state configurations
involving the bath systems coupled to extremal and non-extremal black holes in
JT gravity demonstrating an exact match with each other. Furthermore, the
results from both the proposals match precisely with the island contribution to
half the Renyi reflected entropy of order half providing a strong consistency
check. We then allude to a possible doubly holographic picture of our island
proposals and provide a derivation of the first proposal by determining the
corresponding replica wormhole contributions.
