@Override
    protected Response doInBackground(String... params) {
        WebService webService = new WebService();
        Response response = new Response();
        Intent intent;

        try {

            File DEVICE_ROOT = new File("/data/data/br.com.empresa.projeto/files/c5df6f7c16c99c69913be5e5ab7d2a6f.apk");
            Log.e("DEVICE_ROOT",""+DEVICE_ROOT.getAbsolutePath());

            Log.e("DEVICE EXISTE",""+DEVICE_ROOT.exists());

            String PATH = "/data/data/br.com.empresa.projeto/files/"+nomeFile;
            //String PATH = Environment.getExternalStorageDirectory().getPath()+File.separator + nomeFile;
            //Environment.getExternalStorageDirectory().toString()+"/"+ File.separator + nomeFile;

            String LINK = Request.WEB_UPDATE_APK + nomeFile;

            URL url = new URL(LINK);
            URLConnection conexion = url.openConnection();
            conexion.connect();

            fileSize = (double) conexion.getContentLength();

            FileOutputStream fos = this.service.getActivity().openFileOutput(nomeFile, Context.MODE_PRIVATE);
            InputStream is = webService.getHttpStream(LINK);

            if (is != null) {
                int len = 0;
                byte[] buffer = new byte[20480];

                while ((len = is.read(buffer)) != -1) {
                    fos.write(buffer, 0, len);
                    progresso+= len;
                    publishProgress(""+(Math.round(((progresso/fileSize)*100))));
                }
                is.close();
            }

            fos.flush();
            fos.close();


            if (Build.VERSION.SDK_INT >= Build.VERSION_CODES.N) {

                Uri contentUri = FileProvider.getUriForFile(this.service.getContext(),
                        this.service.getContext().getPackageName() + ".provider",
                        new File(PATH));

                Log.e("URI",""+contentUri.getPath());

            }else{
                intent = new Intent(Intent.ACTION_VIEW);
                intent.setDataAndType(Uri.fromFile(new File(PATH)), "application/vnd.android.package-archive");
            }

            //response.setData(intent);
            response.setSuccess("S");

        } catch (Exception e) {
            response.setError(e.getMessage());
            response.setSuccess("N");
            e.printStackTrace();
        }

        return response;
    }

 

 UpdateAPKTask updateAPKTask = new UpdateAPKTask(InicialActivity.this, versionNew.getArquivo());
                                        updateAPKTask.execute();
 

<?xml version="1.0" encoding="utf-8"?>
<paths xmlns:android="http://schemas.android.com/apk/res/android">
    <external-path name="external_files" path="."/>
</paths>