Here I am writing code to create zip file in android application.
Here, First I create directory where I create zip file.
Then by using Compress class I create zip file having some valid images already saved on our device.

private File createZipFile() {
  ZIP_FILE_NAME = getDateName() +".zip";


File directory = new File(Environment.getExternalStorageDirectory(),getString(R.string.app_name));
if(!directory.exists())
{
    directory.mkdir();
}
File f = new File(directory, ZIP_FILE_NAME);
return f;
}
public String getDateName() {
        Date date = new Date();
        String format = "yyMMddHHmm";
        SimpleDateFormat sdf = new SimpleDateFormat(format, Locale.US);
        String dateString = sdf.format(date);
        String fileName = "Example" + dateString;
        return fileName;
    }
final String zipFile=createZipFile().getAbsolutePath();
String fileName[] = new String[]{};
 fileName=new String[]{image1,image2,image3,image4};
Compress compress=new Compress(fileName, zipFile);