In this paper, we study the mapping 𝛿 that assigns to each hyperideal 𝐼 of the commutative semihyperring 𝑅, another hyperideal 𝛿(𝐼) of the same semihyperring. Also we introduced the notation of 𝛿-zero divisor of commutative semihyperring and 𝛿-semidomainlike semihyperring which is generalization to those in the semirings. Moreover we showed that if 𝛿 be a global hyperideal expansion then 𝐼 is 𝛿-primary if and only if 𝑍𝛿(𝑅⁄𝐼) ⊆ 𝛿({0𝑅𝐼} .