NSDateFormatter *dateFormat = [NSDateFormatter new];
[dateFormat setDateFormat:@"dd-LL-yy"];
NSDate *date = [dateFormat dateFromString:@"25.05.16"];

if ([date1 compare:date2] == NSOrderedDescending) {
    NSLog(@"date1 is later than date2");
} else if ([date1 compare:date2] == NSOrderedAscending) {
    NSLog(@"date1 is earlier than date2");
} else {
    NSLog(@"dates are the same");
}