Strange problem with iphone 6

Hopefully someone could help me out with this. The last few weeks I'm having an issue with my the touch screen. Many time while scrolling through a web page, if my finger hits a link or pic, the "long press" function will pop up. (That function normally comes up if you hold down on a link or pic for a second or two, and gives the option to copy, save, open etc). This seems to happen all the time just with quick scrolling on the screen.
If anyone could suggest a solution to this, that would be great. Thanks.