Does repeatedly accessing a website that contains inappropriate images and sexually suggestive content constitute a breach of Fatwa No. 109878?

Opening an explicit website unintentionally and then seeking to identify it does not incur harm, as the validity of an oath (yamin) depends on intention. If you doubt whether you actually uttered an oath, then there is no consequence for you, because the default assumption is that no oath was made. Caution must be exercised when entering unknown or suspicious websites.