The m-CCE Inverse in Minkowski Space and Its Applications

In this paper, we introduce a new generalized inverse called m-CCE inverse which presents a generalization of the CCE inverse in Minkowski space by using the m-core-EP decomposition and the Minkowski inverse. We first show the existence and the uniqueness of the generalized inverse. Then, a number of basic properties and diverse characterizations are derived for the m-CCE inverse as well as its limit and integral expressions. Additionally, applications of the m-CCE inverse are given in solving a system of linear equations. Applying the generalized inverse, we introduce a binary relation based on the m-CCE inverse.