If you need in format with each name in a new line as string,
public String Names(String arrayString) throws JSONException {
JSONArray jsonArray = new JSONArray(arrayString);
StringBuilder sb = new StringBuilder();
for (int i = 0; i < jsonArray.length(); i++) {
sb.append(jsonArray.getJSONobject(i).getString("name")).append("\n");
}
return sb.toString();
}