Sujud Sahw for mistaking in a part of a surah during salah

I was the imam for a Maghrib prayer and while reciting an ayah from *al-Kahf* I ended it with *"Muslim"* instead of *"walam yaj'al lahu iwaja"* Then I asked my ma'mum to do Sujud Sahw, but they rejected the idea of doing so. But I performed it anyway but am now afraid that I have sinned not only on my behalf but also of my ma'mum. Did I do the right thing? Have I sinned?