on strongly jordan zero-product preserving maps

in this paper, we give a characterization of strongly jordan zero-product preserving maps on normed algebras as a generalization of  jordan zero-product preserving maps. in this direction, we give some illustrative examples to show that the notions of strongly zero-product preserving maps and strongly jordan zero-product preserving maps are completely different. also, we prove that the direct product and the composition of two strongly jordan zero-product preserving maps are again  strongly jordan zero-product 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 zero-products is necessarily continuous.