Is there any type of cure for mild asthma?

Unfortunately No: Asthma is a chronic inflammatory condition of the lungs. The good news is that in cases of mild asthma, it may be possible to identify triggers that may be avoided and it could seem like your asthma is controlled. Triggers such as cigarette smoke, environmental allergens such as pollen, animal dander, and dust, and chemicals can cause one's asthma to flare up.

No...: Asthma is not curable. But, most asthmatics can be rendered symptom-free between exacerbations with therapy. Asthma treatment includes bronchodilator and steroid inhalers. Other treatments depend on symptoms present so see your doctor if you have ongoing symptoms despite initial treatment. If you smoke, smoking cessation is necessary to decrease airway inflammation!