The phrase "attacking one another" is correct and usable in written English.
It can be used to describe a situation where two or more parties are engaging in aggressive or hostile actions towards each other.
Example: "During the debate, the candidates were attacking one another instead of addressing the issues at hand."
Alternatives: "assaulting each other" or "battling against each other".
I arrive to find him watching hippos attacking one another on the Discovery Channel; he's fresh from a nap and rumpled head to toe, but the nature footage acts on him like a stimulant.
While the clashes between Gingrich and Romney dominated the debate, Santorum drew applause from the audience when he called on the two front-runners to stop attacking one another and "focus on the issues".
Democratic presidential candidates, debating here, harshly and intensely attacking one another Sunday night on the wisdom of President Bush's invasion of Iraq and whether Congress should have authorized $87 billion that would help maintain the war effort.
In an increasingly contentious Republican primary, it was an opportunity for all the candidates to take a break from attacking one another and instead focus their fire on the man all of them hope to defeat.
Finally, the cameras follow the action as she is asked to confront the betrayer and his paramour – which, in my viewing of two episodes, resulted in the young women attacking one another physically, while the hapless "cheater" looked on, aghast.
They will be displayed in a setting where the Chuanjiesaurus is looking down on the two other skeletons, which will appear to be attacking one another.
On the show, which asked its contestants to improvise raps attacking one another in a lighthearted manner, Yeezy totally demolished the competition.
The looters were attacking one another, too.
We should be looking for answers, not attacking one another.
Or the stars spend their time onstage attacking one another.
I urge all the candidates to refrain from attacking one another.
