Hi Jaydee,
As long as the people you invited have Yahoo! accounts, they should be able to accept your invitation from their profile page. If they choose not to accept your invitation, you would just become one of their contacts.
I have invited connections from my profile page and accepted connections from links in email invites and from my profile page, but I haven't come across the issue that you mention.
I will investigate the matter, but please try sending another connection invite to one of your friends. Be sure to tell them to accept and let me know if the problem persists.
Thanks again.
Just tried creating connections via profiles.yahoo.com and all the persons I invited were able to see the invitation but clicking on the link takes them to the contacts tab with nothing to get them to accept the connection invite.