What does Notwithstanding the weekend periods of possession ordered for Weldon mean?

"Notwithstanding the weekend periods of possession ordered for Weldon" means that despite any previously established arrangements allowing Weldon to have possession of something (likely a child or property) during the weekends, there may be other conditions or rulings that take precedence or modify that arrangement. Essentially, it indicates that the weekend possession rights are acknowledged but do not override other legal stipulations or decisions in place.