The phrase "for having invited" is correct and usable in written English.
For example, you could write "Thank you for having invited us to your party."
First thing tomorrow, he was going to e-mail Kate Lotvelt with an outpouring of ridiculous thanks for having invited him to the party of the year.
China was apparently punishing the bank for having invited Taiwan's finance minister, Yen Ching-chang, to give the keynote speech at a conference in Hong Kong in March.
He was particularly disgusted with Michelle Obama this week for having invited the Grammy award-winning rapper and actor known as Common to participate in an evening of poetry at the White House.
Sali Berisha: First, allow me to thank you from my heart, Mr. Forbes, for having invited me.
She apologized for having invited me to lunch, she had realized she never should have done it and asked me not to reply to her email.
I must thank you for having invited the Council to speak on this issue.
A Kenyan, for instance, had invited Laurent home for dinner, with the people he was staying with.
And that's for a reason: Trump, with a seemingly daily appetite for controversy, has invited the focus.
When I opened my first restaurant with [my brother] Michel in 1967 there were people I had worked for who had invited marquesses, Douglas Fairbanks Jr, all these people, and there was all this publicity and Le Gavroche was crowded every night.
No one was waiting for me or had invited me anywhere, because I had been detained from returning for a little stretch of ten years.
The OPLC has lined up a tenant for the stadium and has invited bids for other properties.
