Uniqueness of meromorphic functions and their difference or shift operators in several complex variables

In this paper, we have studied the uniqueness problems of meromorphic functions with their difference or generalized linear shift operators in the light of partial sharing in several complex variables. By relaxing one sharing condition from CM (counting multiplicities) to IM (ignoring multiplicities), one of the results of our paper improved a result of W. Wu and T.-B. Cao [Comput. Methods Funct. Theory 2022, 22 (2), 379-399]. Our other results also extend and improve some results of the same paper.