This is the 14179th most frequent Turkish word.
müsabakalarının
"Of the competitions" or "of the matches."
Here, 'müsabakalarının' (of the competitions) is in the genitive case and shows possessive modification pertaining to 'yüzme' (swimming competitions).
Yüzme müsabakalarının sonucu açıklandı.
The results of the swimming competitions were announced.
In this sentence, 'müsabakalarının' means the competitions' (of students), indicating belonging or association.
Öğrenci müsabakalarının amacı öğrenmeyi teşvik etmektir.
The goal of the student competitions is to encourage learning.
Here, 'müsabakalarının' refers to the competition as a possessive term connected to 'uluslararası sanat' (international art), making it specific to the described competitions.