Walker finished two strokes ahead of Vijay Singh in winning the Fry.com Open, the first event on the PGA Tour's 2014 calendar. That moves him up 21 spots to 45th in the world rankings.
Lynn, who won the KLM Open in August 2004, fired an 8-under-par 63 Sunday in edging Justin Walters by one stroke at the European Tour's Portugal Masters. That leaves him in the 34th spot in the world rankings. He was 52nd last week.
The men's world golf rankings Top 10, listing player's name, home country and ranking points average:
1. Tiger Woods, United States, 12.96
2. Adam Scott, Australia, 9.17
3. Phil Mickelson, United States, 8.41
4. Henrik Stenson, Sweden, 8.10
5. Justin Rose, England, 7.42
6. Rory McIlroy, Northern Ireland, 7.29
7. Steve Stricker, United States, 6.63
8. Matt Kuchar, United States, 6.48
9. Brandt Snedeker, United States, 6.10
10. Jason Dufner, United States, 5.86