They also thanked fans for their support along with respecting their privacy.
On Monday, the 90-year old singer was taken to Breach Candy Hospital in Mumbai.
Lata Mangeshkar Health Update: 'She Is Stable & Better Now', Says Singer's Niece Rachana
Lata Mangeshkar, who began her career in 1942, entered her 90s recently.
She is a recipient of the Bharat Ratna, Padma Vibhushan, Padma Bhushan and the Dadasaheb Phalke Awards. (ANI)