The white spots on your hair tips could potentially be a superficial fungal infection like white piedra, but it is more commonly a structural issue called trichorrhexis nodosa, where the hair shaft weakens and swells due to styling damage. While ketoconazole is an antifungal, it is primarily used for scalp conditions like dandruff and may not resolve this specific issue. I recommend consulting a dermatologist before starting any treatment. They can examine your hair under a microscope to determine the exact cause and advise if you need a specific antifungal or simply a modified hair-care routine. Rest assured, this is a very common and manageable concern.