Pita with Eggplant and Egg (Sabich Sandwich)

Ingredients

• • Vegetable oil, for frying
  • 1 eggplant, about 1 lb (450 g), cut into 12 slices
  • 1 tomato, diced
  • 1/2 English cucumber, diced
  • 1/2 small red onion, chopped
  • ½ cup (20 g) cilantro, finely chopped
  • 2 tbsp (30 ml) lemon juice
  • 4 thick pita breads (see note)
  • ½ cup (125 ml) store-bought tahini sauce or hummus
  • 4 hard-boiled eggs, sliced into rounds
  • ¼ cup (60 ml) amba sauce or store-bought mango chutney