on strongly jordan zero-product preserving maps

In this paper, we give a characterization of strongly jordan zeroproduct preserving maps on normed algebras as a generalization of  jordan zeroproduct preserving maps. in this direction, we give some illustrative exles to show that the notions of strongly zeroproduct preserving maps and strongly jordan zeroproduct preserving maps are completely different. also, we prove that the direct product and the composition of two strongly jordan zeroproduct preserving maps are again  strongly jordan zeroproduct preserving maps. but this fact is not the case for tensor product of them in general. finally, we prove  that every *-preserving linear map from a normed *-algebra into a c^*-algebra that strongly preserves jordan zeroproducts is necessarily continuous.