It is true that LDS missionaries have made a slight shift away from door-to-door proselyting in certain geographical areas in the last few years; however, the practice has not been completely discontinued (except in countries where it is illegal) and, as far as I know, there are no plans to discontinue it.
The shift officially started when, in a 2013 discourse, Church leader Elder L Tom Perry stated:
When I was a young missionary, we were able to speak with contacts on the street and knock on doors to share the gospel. The world has changed since that time. Now many people are involved in the busyness of their lives. They hurry here and there, and they are often less willing to allow complete strangers to enter their homes, uninvited, to share a message of the restored gospel. Their main point of contact with others, even with close friends, is often via the Internet. The very nature of missionary work, therefore, must change if the Lord is to accomplish His work of gathering Israel "from the four corners of the earth." The missionaries are now authorized to use the Internet in their proselyting efforts.
Since this announcement, the Church has slowly implemented an "online proselyting" program with many facets. So far, this program has been limited to certain countries. It is still being developed and changed as missionaries provide feedback. It does not replace any previous instructions or resources; it is simply intended to expand the missionaries' proselyting options. Some missionaries proselyte primarily online; others do minimal online proselyting. Door-to-door proselyting is still a popular method for many missionaries. Church leaders have suggested that online proselyting may be more effective in many 1st world countries, and have encouraged these missionaries to shift in the online direction -- but they ultimately leave the decision of how to proselyte to the individual missions and missionaries.
In summary, door-to-door LDS proselyting is slowly becoming less common in some areas as missionaries begin online proselyting, but there are no plans to abolish it.