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Two kinds of invariance for geometrical objects under transformations areinvolved in this paper. With respect to these kinds, we obtained novelinvariants for almost geodesic mappings of the third type of a non-symmetricaffine connection space in this paper. Our results are presented in twosections. In the Section 3, we obtained the invariants for the equitorsionalmost geodesic mappings which do not have the property of reciprocity.

Novel Invariants for Almost Geodesic Mappings of the Third Type