1. Each one of them has their own way to understand the world.
2. Each one of them has their way to understand the world.
"own way" is appropriate here. "way of understanding" seems better than "way to understand". In everyday speech, many people would use "singular their" here.
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"own way" is appropriate here.
"way of understanding" seems better than "way to understand".
In everyday speech, many people would use "singular their" here. For me, it grates somewhat in written English. In careful or formal English, use "his", "her" or "his or her", depending on whether the group is all male, all female, or mixed/unknown.